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Finding the Fourth Proportional to 747.92, 1,031.93 and 499.07

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Solution

The fourth proportional to 747.92, 1,031.93 and 499.07 is: 688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.92 : 1,031.93 = 499.07 : x
  2. Step 2: Convert to fraction form
    747.92/1,031.93 = 499.07/x
  3. Step 3: Cross multiply
    747.92x = 1,031.93 × 499.07
  4. Step 4: Simplify right side
    747.92x = 515,005.31
  5. Step 5: Solve for x
    x = 515,005.31/747.92
  6. Step 6: Final answer
    x = 688.58

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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.