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Finding the Fourth Proportional to 565.97, 847.33 and 520.61

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Solution

The fourth proportional to 565.97, 847.33 and 520.61 is: 779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.97 : 847.33 = 520.61 : x
  2. Step 2: Convert to fraction form
    565.97/847.33 = 520.61/x
  3. Step 3: Cross multiply
    565.97x = 847.33 × 520.61
  4. Step 4: Simplify right side
    565.97x = 441,122.93
  5. Step 5: Solve for x
    x = 441,122.93/565.97
  6. Step 6: Final answer
    x = 779.42

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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.