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Finding the Fourth Proportional to 658.20, 984.66 and 617.88

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Solution

The fourth proportional to 658.20, 984.66 and 617.88 is: 924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.20 : 984.66 = 617.88 : x
  2. Step 2: Convert to fraction form
    658.20/984.66 = 617.88/x
  3. Step 3: Cross multiply
    658.20x = 984.66 × 617.88
  4. Step 4: Simplify right side
    658.20x = 608,401.72
  5. Step 5: Solve for x
    x = 608,401.72/658.20
  6. Step 6: Final answer
    x = 924.34

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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.