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Finding the Fourth Proportional to 576.19, 862.91 and 331.97

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Solution

The fourth proportional to 576.19, 862.91 and 331.97 is: 497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.19 : 862.91 = 331.97 : x
  2. Step 2: Convert to fraction form
    576.19/862.91 = 331.97/x
  3. Step 3: Cross multiply
    576.19x = 862.91 × 331.97
  4. Step 4: Simplify right side
    576.19x = 286,461.98
  5. Step 5: Solve for x
    x = 286,461.98/576.19
  6. Step 6: Final answer
    x = 497.17

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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.