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Finding the Fourth Proportional to 658.60, 986.99 and 333.59

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Solution

The fourth proportional to 658.60, 986.99 and 333.59 is: 499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.60 : 986.99 = 333.59 : x
  2. Step 2: Convert to fraction form
    658.60/986.99 = 333.59/x
  3. Step 3: Cross multiply
    658.60x = 986.99 × 333.59
  4. Step 4: Simplify right side
    658.60x = 329,243.39
  5. Step 5: Solve for x
    x = 329,243.39/658.60
  6. Step 6: Final answer
    x = 499.92

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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.