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Finding the Fourth Proportional to 576.45, 862.97 and 381.08

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Solution

The fourth proportional to 576.45, 862.97 and 381.08 is: 570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.45 : 862.97 = 381.08 : x
  2. Step 2: Convert to fraction form
    576.45/862.97 = 381.08/x
  3. Step 3: Cross multiply
    576.45x = 862.97 × 381.08
  4. Step 4: Simplify right side
    576.45x = 328,854.39
  5. Step 5: Solve for x
    x = 328,854.39/576.45
  6. Step 6: Final answer
    x = 570.48

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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.