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Finding the Fourth Proportional to 565.35, 845.87 and 421.71

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Solution

The fourth proportional to 565.35, 845.87 and 421.71 is: 630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.35 : 845.87 = 421.71 : x
  2. Step 2: Convert to fraction form
    565.35/845.87 = 421.71/x
  3. Step 3: Cross multiply
    565.35x = 845.87 × 421.71
  4. Step 4: Simplify right side
    565.35x = 356,709.73
  5. Step 5: Solve for x
    x = 356,709.73/565.35
  6. Step 6: Final answer
    x = 630.95

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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.