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Finding the Fourth Proportional to 746.72, 1,031.68 and 515.04

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Solution

The fourth proportional to 746.72, 1,031.68 and 515.04 is: 711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.72 : 1,031.68 = 515.04 : x
  2. Step 2: Convert to fraction form
    746.72/1,031.68 = 515.04/x
  3. Step 3: Cross multiply
    746.72x = 1,031.68 × 515.04
  4. Step 4: Simplify right side
    746.72x = 531,356.47
  5. Step 5: Solve for x
    x = 531,356.47/746.72
  6. Step 6: Final answer
    x = 711.59

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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.