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Finding the Fourth Proportional to 474.57, 711.05 and 337.32

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Solution

The fourth proportional to 474.57, 711.05 and 337.32 is: 505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.57 : 711.05 = 337.32 : x
  2. Step 2: Convert to fraction form
    474.57/711.05 = 337.32/x
  3. Step 3: Cross multiply
    474.57x = 711.05 × 337.32
  4. Step 4: Simplify right side
    474.57x = 239,849.70
  5. Step 5: Solve for x
    x = 239,849.70/474.57
  6. Step 6: Final answer
    x = 505.40

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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.