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Finding the Fourth Proportional to 1,331.38, 1,835.86 and 906.28

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Solution

The fourth proportional to 1,331.38, 1,835.86 and 906.28 is: 1,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.38 : 1,835.86 = 906.28 : x
  2. Step 2: Convert to fraction form
    1,331.38/1,835.86 = 906.28/x
  3. Step 3: Cross multiply
    1,331.38x = 1,835.86 × 906.28
  4. Step 4: Simplify right side
    1,331.38x = 1,663,806.63
  5. Step 5: Solve for x
    x = 1,663,806.63/1,331.38
  6. Step 6: Final answer
    x = 1,249.69

Related Problems

Find fourth proportional to 665.69, 917.93 and 453.14
Half scale
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Double scale
Find fourth proportional to 1,332.38, 1,837.24 and 907.28
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.