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Finding the Fourth Proportional to 732.79, 1,010.53 and 628.24

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Solution

The fourth proportional to 732.79, 1,010.53 and 628.24 is: 866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.79 : 1,010.53 = 628.24 : x
  2. Step 2: Convert to fraction form
    732.79/1,010.53 = 628.24/x
  3. Step 3: Cross multiply
    732.79x = 1,010.53 × 628.24
  4. Step 4: Simplify right side
    732.79x = 634,847.17
  5. Step 5: Solve for x
    x = 634,847.17/732.79
  6. Step 6: Final answer
    x = 866.34

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Double scale
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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.