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Finding the Fourth Proportional to 932.50, 1,399.16 and 355.78

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Solution

The fourth proportional to 932.50, 1,399.16 and 355.78 is: 533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.50 : 1,399.16 = 355.78 : x
  2. Step 2: Convert to fraction form
    932.50/1,399.16 = 355.78/x
  3. Step 3: Cross multiply
    932.50x = 1,399.16 × 355.78
  4. Step 4: Simplify right side
    932.50x = 497,793.14
  5. Step 5: Solve for x
    x = 497,793.14/932.50
  6. Step 6: Final answer
    x = 533.83

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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.