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Finding the Fourth Proportional to 658.94, 987.80 and 329.67

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Solution

The fourth proportional to 658.94, 987.80 and 329.67 is: 494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.94 : 987.80 = 329.67 : x
  2. Step 2: Convert to fraction form
    658.94/987.80 = 329.67/x
  3. Step 3: Cross multiply
    658.94x = 987.80 × 329.67
  4. Step 4: Simplify right side
    658.94x = 325,646.38
  5. Step 5: Solve for x
    x = 325,646.38/658.94
  6. Step 6: Final answer
    x = 494.20

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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.