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Finding the Fourth Proportional to 576.08, 862.74 and 506.90

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Solution

The fourth proportional to 576.08, 862.74 and 506.90 is: 759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.08 : 862.74 = 506.90 : x
  2. Step 2: Convert to fraction form
    576.08/862.74 = 506.90/x
  3. Step 3: Cross multiply
    576.08x = 862.74 × 506.90
  4. Step 4: Simplify right side
    576.08x = 437,322.91
  5. Step 5: Solve for x
    x = 437,322.91/576.08
  6. Step 6: Final answer
    x = 759.14

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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.