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Finding the Fourth Proportional to 425.57, 641.90 and 374.85

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Solution

The fourth proportional to 425.57, 641.90 and 374.85 is: 565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.57 : 641.90 = 374.85 : x
  2. Step 2: Convert to fraction form
    425.57/641.90 = 374.85/x
  3. Step 3: Cross multiply
    425.57x = 641.90 × 374.85
  4. Step 4: Simplify right side
    425.57x = 240,614.34
  5. Step 5: Solve for x
    x = 240,614.34/425.57
  6. Step 6: Final answer
    x = 565.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.