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Finding the Fourth Proportional to 658.17, 986.39 and 566.23

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Solution

The fourth proportional to 658.17, 986.39 and 566.23 is: 848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.17 : 986.39 = 566.23 : x
  2. Step 2: Convert to fraction form
    658.17/986.39 = 566.23/x
  3. Step 3: Cross multiply
    658.17x = 986.39 × 566.23
  4. Step 4: Simplify right side
    658.17x = 558,520.78
  5. Step 5: Solve for x
    x = 558,520.78/658.17
  6. Step 6: Final answer
    x = 848.60

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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.