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Finding the Fourth Proportional to 658.32, 984 and 575.52

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Solution

The fourth proportional to 658.32, 984 and 575.52 is: 860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.32 : 984 = 575.52 : x
  2. Step 2: Convert to fraction form
    658.32/984 = 575.52/x
  3. Step 3: Cross multiply
    658.32x = 984 × 575.52
  4. Step 4: Simplify right side
    658.32x = 566,311.68
  5. Step 5: Solve for x
    x = 566,311.68/658.32
  6. Step 6: Final answer
    x = 860.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.