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Finding the Fourth Proportional to 1,021.38, 1,409.47 and 555.63

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Solution

The fourth proportional to 1,021.38, 1,409.47 and 555.63 is: 766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.38 : 1,409.47 = 555.63 : x
  2. Step 2: Convert to fraction form
    1,021.38/1,409.47 = 555.63/x
  3. Step 3: Cross multiply
    1,021.38x = 1,409.47 × 555.63
  4. Step 4: Simplify right side
    1,021.38x = 783,137.14
  5. Step 5: Solve for x
    x = 783,137.14/1,021.38
  6. Step 6: Final answer
    x = 766.75

Related Problems

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Half scale
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Double scale
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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.