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Finding the Fourth Proportional to 732.72, 1,011 and 628.20

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Solution

The fourth proportional to 732.72, 1,011 and 628.20 is: 866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.72 : 1,011 = 628.20 : x
  2. Step 2: Convert to fraction form
    732.72/1,011 = 628.20/x
  3. Step 3: Cross multiply
    732.72x = 1,011 × 628.20
  4. Step 4: Simplify right side
    732.72x = 635,110.20
  5. Step 5: Solve for x
    x = 635,110.20/732.72
  6. Step 6: Final answer
    x = 866.78

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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.