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Finding the Fourth Proportional to 658.60, 986.94 and 550.12

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Solution

The fourth proportional to 658.60, 986.94 and 550.12 is: 824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.60 : 986.94 = 550.12 : x
  2. Step 2: Convert to fraction form
    658.60/986.94 = 550.12/x
  3. Step 3: Cross multiply
    658.60x = 986.94 × 550.12
  4. Step 4: Simplify right side
    658.60x = 542,935.43
  5. Step 5: Solve for x
    x = 542,935.43/658.60
  6. Step 6: Final answer
    x = 824.38

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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.