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Finding the Fourth Proportional to 906.38, 1,251.40 and 696.16

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Solution

The fourth proportional to 906.38, 1,251.40 and 696.16 is: 961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.38 : 1,251.40 = 696.16 : x
  2. Step 2: Convert to fraction form
    906.38/1,251.40 = 696.16/x
  3. Step 3: Cross multiply
    906.38x = 1,251.40 × 696.16
  4. Step 4: Simplify right side
    906.38x = 871,169.76
  5. Step 5: Solve for x
    x = 871,169.76/906.38
  6. Step 6: Final answer
    x = 961.15

Related Problems

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Half scale
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Double scale
Find fourth proportional to 907.38, 1,252.78 and 697.16
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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.