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Finding the Fourth Proportional to 658.74, 989.19 and 440.04

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Solution

The fourth proportional to 658.74, 989.19 and 440.04 is: 660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.74 : 989.19 = 440.04 : x
  2. Step 2: Convert to fraction form
    658.74/989.19 = 440.04/x
  3. Step 3: Cross multiply
    658.74x = 989.19 × 440.04
  4. Step 4: Simplify right side
    658.74x = 435,283.17
  5. Step 5: Solve for x
    x = 435,283.17/658.74
  6. Step 6: Final answer
    x = 660.78

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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.