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Finding the Fourth Proportional to 658.60, 986.96 and 483.90

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Solution

The fourth proportional to 658.60, 986.96 and 483.90 is: 725.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.60 : 986.96 = 483.90 : x
  2. Step 2: Convert to fraction form
    658.60/986.96 = 483.90/x
  3. Step 3: Cross multiply
    658.60x = 986.96 × 483.90
  4. Step 4: Simplify right side
    658.60x = 477,589.94
  5. Step 5: Solve for x
    x = 477,589.94/658.60
  6. Step 6: Final answer
    x = 725.16

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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.