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Finding the Fourth Proportional to 658.90, 986.44 and 514.18

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Solution

The fourth proportional to 658.90, 986.44 and 514.18 is: 769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.90 : 986.44 = 514.18 : x
  2. Step 2: Convert to fraction form
    658.90/986.44 = 514.18/x
  3. Step 3: Cross multiply
    658.90x = 986.44 × 514.18
  4. Step 4: Simplify right side
    658.90x = 507,207.72
  5. Step 5: Solve for x
    x = 507,207.72/658.90
  6. Step 6: Final answer
    x = 769.78

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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.