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Finding the Fourth Proportional to 576.87, 864.95 and 381.66

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Solution

The fourth proportional to 576.87, 864.95 and 381.66 is: 572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.87 : 864.95 = 381.66 : x
  2. Step 2: Convert to fraction form
    576.87/864.95 = 381.66/x
  3. Step 3: Cross multiply
    576.87x = 864.95 × 381.66
  4. Step 4: Simplify right side
    576.87x = 330,114.91
  5. Step 5: Solve for x
    x = 330,114.91/576.87
  6. Step 6: Final answer
    x = 572.25

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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.