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Finding the Fourth Proportional to 576.52, 865.98 and 558.04

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Solution

The fourth proportional to 576.52, 865.98 and 558.04 is: 838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.52 : 865.98 = 558.04 : x
  2. Step 2: Convert to fraction form
    576.52/865.98 = 558.04/x
  3. Step 3: Cross multiply
    576.52x = 865.98 × 558.04
  4. Step 4: Simplify right side
    576.52x = 483,251.48
  5. Step 5: Solve for x
    x = 483,251.48/576.52
  6. Step 6: Final answer
    x = 838.22

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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.