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Finding the Fourth Proportional to 658.18, 985.51 and 580.33

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Solution

The fourth proportional to 658.18, 985.51 and 580.33 is: 868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.18 : 985.51 = 580.33 : x
  2. Step 2: Convert to fraction form
    658.18/985.51 = 580.33/x
  3. Step 3: Cross multiply
    658.18x = 985.51 × 580.33
  4. Step 4: Simplify right side
    658.18x = 571,921.02
  5. Step 5: Solve for x
    x = 571,921.02/658.18
  6. Step 6: Final answer
    x = 868.94

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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.