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Finding the Fourth Proportional to 932.76, 1,399.10 and 316.78

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Solution

The fourth proportional to 932.76, 1,399.10 and 316.78 is: 475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.76 : 1,399.10 = 316.78 : x
  2. Step 2: Convert to fraction form
    932.76/1,399.10 = 316.78/x
  3. Step 3: Cross multiply
    932.76x = 1,399.10 × 316.78
  4. Step 4: Simplify right side
    932.76x = 443,206.90
  5. Step 5: Solve for x
    x = 443,206.90/932.76
  6. Step 6: Final answer
    x = 475.16

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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.