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Finding the Fourth Proportional to 658.95, 984.50 and 451.77

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Solution

The fourth proportional to 658.95, 984.50 and 451.77 is: 674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.95 : 984.50 = 451.77 : x
  2. Step 2: Convert to fraction form
    658.95/984.50 = 451.77/x
  3. Step 3: Cross multiply
    658.95x = 984.50 × 451.77
  4. Step 4: Simplify right side
    658.95x = 444,765.31
  5. Step 5: Solve for x
    x = 444,765.31/658.95
  6. Step 6: Final answer
    x = 674.96

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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.