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Finding the Fourth Proportional to 565.27, 846.69 and 381.85

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Solution

The fourth proportional to 565.27, 846.69 and 381.85 is: 571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.27 : 846.69 = 381.85 : x
  2. Step 2: Convert to fraction form
    565.27/846.69 = 381.85/x
  3. Step 3: Cross multiply
    565.27x = 846.69 × 381.85
  4. Step 4: Simplify right side
    565.27x = 323,308.58
  5. Step 5: Solve for x
    x = 323,308.58/565.27
  6. Step 6: Final answer
    x = 571.95

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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.