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Finding the Fourth Proportional to 565.69, 847.15 and 391.87

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Solution

The fourth proportional to 565.69, 847.15 and 391.87 is: 586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.69 : 847.15 = 391.87 : x
  2. Step 2: Convert to fraction form
    565.69/847.15 = 391.87/x
  3. Step 3: Cross multiply
    565.69x = 847.15 × 391.87
  4. Step 4: Simplify right side
    565.69x = 331,972.67
  5. Step 5: Solve for x
    x = 331,972.67/565.69
  6. Step 6: Final answer
    x = 586.85

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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.