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Finding the Fourth Proportional to 747.60, 1,031.80 and 592.08

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Solution

The fourth proportional to 747.60, 1,031.80 and 592.08 is: 817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.60 : 1,031.80 = 592.08 : x
  2. Step 2: Convert to fraction form
    747.60/1,031.80 = 592.08/x
  3. Step 3: Cross multiply
    747.60x = 1,031.80 × 592.08
  4. Step 4: Simplify right side
    747.60x = 610,908.14
  5. Step 5: Solve for x
    x = 610,908.14/747.60
  6. Step 6: Final answer
    x = 817.16

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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.