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Finding the Fourth Proportional to 747.96, 1,031.81 and 499.20

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Solution

The fourth proportional to 747.96, 1,031.81 and 499.20 is: 688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.96 : 1,031.81 = 499.20 : x
  2. Step 2: Convert to fraction form
    747.96/1,031.81 = 499.20/x
  3. Step 3: Cross multiply
    747.96x = 1,031.81 × 499.20
  4. Step 4: Simplify right side
    747.96x = 515,077.06
  5. Step 5: Solve for x
    x = 515,077.06/747.96
  6. Step 6: Final answer
    x = 688.64

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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.