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Finding the Fourth Proportional to 691.12, 951.60 and 592.48

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Solution

The fourth proportional to 691.12, 951.60 and 592.48 is: 815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.12 : 951.60 = 592.48 : x
  2. Step 2: Convert to fraction form
    691.12/951.60 = 592.48/x
  3. Step 3: Cross multiply
    691.12x = 951.60 × 592.48
  4. Step 4: Simplify right side
    691.12x = 563,803.97
  5. Step 5: Solve for x
    x = 563,803.97/691.12
  6. Step 6: Final answer
    x = 815.78

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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.