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Finding the Fourth Proportional to 658.59, 989.82 and 439.95

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Solution

The fourth proportional to 658.59, 989.82 and 439.95 is: 661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.59 : 989.82 = 439.95 : x
  2. Step 2: Convert to fraction form
    658.59/989.82 = 439.95/x
  3. Step 3: Cross multiply
    658.59x = 989.82 × 439.95
  4. Step 4: Simplify right side
    658.59x = 435,471.31
  5. Step 5: Solve for x
    x = 435,471.31/658.59
  6. Step 6: Final answer
    x = 661.22

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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.