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Finding the Fourth Proportional to 475.91, 714.34 and 411.92

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Solution

The fourth proportional to 475.91, 714.34 and 411.92 is: 618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.91 : 714.34 = 411.92 : x
  2. Step 2: Convert to fraction form
    475.91/714.34 = 411.92/x
  3. Step 3: Cross multiply
    475.91x = 714.34 × 411.92
  4. Step 4: Simplify right side
    475.91x = 294,250.55
  5. Step 5: Solve for x
    x = 294,250.55/475.91
  6. Step 6: Final answer
    x = 618.29

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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.