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Finding the Fourth Proportional to 475.48, 658.84 and 469.54

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Solution

The fourth proportional to 475.48, 658.84 and 469.54 is: 650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.48 : 658.84 = 469.54 : x
  2. Step 2: Convert to fraction form
    475.48/658.84 = 469.54/x
  3. Step 3: Cross multiply
    475.48x = 658.84 × 469.54
  4. Step 4: Simplify right side
    475.48x = 309,351.73
  5. Step 5: Solve for x
    x = 309,351.73/475.48
  6. Step 6: Final answer
    x = 650.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.