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Finding the Fourth Proportional to 658.49, 992.25 and 545.46

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Solution

The fourth proportional to 658.49, 992.25 and 545.46 is: 821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.49 : 992.25 = 545.46 : x
  2. Step 2: Convert to fraction form
    658.49/992.25 = 545.46/x
  3. Step 3: Cross multiply
    658.49x = 992.25 × 545.46
  4. Step 4: Simplify right side
    658.49x = 541,232.69
  5. Step 5: Solve for x
    x = 541,232.69/658.49
  6. Step 6: Final answer
    x = 821.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.