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Finding the Fourth Proportional to 658.22, 991.04 and 581.66

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Solution

The fourth proportional to 658.22, 991.04 and 581.66 is: 875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.22 : 991.04 = 581.66 : x
  2. Step 2: Convert to fraction form
    658.22/991.04 = 581.66/x
  3. Step 3: Cross multiply
    658.22x = 991.04 × 581.66
  4. Step 4: Simplify right side
    658.22x = 576,448.33
  5. Step 5: Solve for x
    x = 576,448.33/658.22
  6. Step 6: Final answer
    x = 875.77

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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.