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Finding the Fourth Proportional to 576.71, 865.06 and 143.86

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Solution

The fourth proportional to 576.71, 865.06 and 143.86 is: 215.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.71 : 865.06 = 143.86 : x
  2. Step 2: Convert to fraction form
    576.71/865.06 = 143.86/x
  3. Step 3: Cross multiply
    576.71x = 865.06 × 143.86
  4. Step 4: Simplify right side
    576.71x = 124,447.53
  5. Step 5: Solve for x
    x = 124,447.53/576.71
  6. Step 6: Final answer
    x = 215.79

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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.