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Finding the Fourth Proportional to 932.96, 1,400.52 and 500.96

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Solution

The fourth proportional to 932.96, 1,400.52 and 500.96 is: 752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.96 : 1,400.52 = 500.96 : x
  2. Step 2: Convert to fraction form
    932.96/1,400.52 = 500.96/x
  3. Step 3: Cross multiply
    932.96x = 1,400.52 × 500.96
  4. Step 4: Simplify right side
    932.96x = 701,604.50
  5. Step 5: Solve for x
    x = 701,604.50/932.96
  6. Step 6: Final answer
    x = 752.02

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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.