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Finding the Fourth Proportional to 658.32, 991.94 and 545.30

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Solution

The fourth proportional to 658.32, 991.94 and 545.30 is: 821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.32 : 991.94 = 545.30 : x
  2. Step 2: Convert to fraction form
    658.32/991.94 = 545.30/x
  3. Step 3: Cross multiply
    658.32x = 991.94 × 545.30
  4. Step 4: Simplify right side
    658.32x = 540,904.88
  5. Step 5: Solve for x
    x = 540,904.88/658.32
  6. Step 6: Final answer
    x = 821.64

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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.