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Finding the Fourth Proportional to 576.42, 865.14 and 380.87

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Solution

The fourth proportional to 576.42, 865.14 and 380.87 is: 571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.42 : 865.14 = 380.87 : x
  2. Step 2: Convert to fraction form
    576.42/865.14 = 380.87/x
  3. Step 3: Cross multiply
    576.42x = 865.14 × 380.87
  4. Step 4: Simplify right side
    576.42x = 329,505.87
  5. Step 5: Solve for x
    x = 329,505.87/576.42
  6. Step 6: Final answer
    x = 571.64

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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.