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Finding the Fourth Proportional to 658.13, 982.43 and 565.79

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Solution

The fourth proportional to 658.13, 982.43 and 565.79 is: 844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.13 : 982.43 = 565.79 : x
  2. Step 2: Convert to fraction form
    658.13/982.43 = 565.79/x
  3. Step 3: Cross multiply
    658.13x = 982.43 × 565.79
  4. Step 4: Simplify right side
    658.13x = 555,843.45
  5. Step 5: Solve for x
    x = 555,843.45/658.13
  6. Step 6: Final answer
    x = 844.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.