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Finding the Fourth Proportional to 658.73, 908.77 and 462.37

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Solution

The fourth proportional to 658.73, 908.77 and 462.37 is: 637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.73 : 908.77 = 462.37 : x
  2. Step 2: Convert to fraction form
    658.73/908.77 = 462.37/x
  3. Step 3: Cross multiply
    658.73x = 908.77 × 462.37
  4. Step 4: Simplify right side
    658.73x = 420,185.67
  5. Step 5: Solve for x
    x = 420,185.67/658.73
  6. Step 6: Final answer
    x = 637.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.