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Finding the Fourth Proportional to 925.68, 1,385.28 and 707.52

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Solution

The fourth proportional to 925.68, 1,385.28 and 707.52 is: 1,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.68 : 1,385.28 = 707.52 : x
  2. Step 2: Convert to fraction form
    925.68/1,385.28 = 707.52/x
  3. Step 3: Cross multiply
    925.68x = 1,385.28 × 707.52
  4. Step 4: Simplify right side
    925.68x = 980,113.31
  5. Step 5: Solve for x
    x = 980,113.31/925.68
  6. Step 6: Final answer
    x = 1,058.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.