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Finding the Fourth Proportional to 565.19, 847.20 and 382.15

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Solution

The fourth proportional to 565.19, 847.20 and 382.15 is: 572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.19 : 847.20 = 382.15 : x
  2. Step 2: Convert to fraction form
    565.19/847.20 = 382.15/x
  3. Step 3: Cross multiply
    565.19x = 847.20 × 382.15
  4. Step 4: Simplify right side
    565.19x = 323,753.24
  5. Step 5: Solve for x
    x = 323,753.24/565.19
  6. Step 6: Final answer
    x = 572.83

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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.