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Finding the Fourth Proportional to 991.08, 1,366.20 and 658.80

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Solution

The fourth proportional to 991.08, 1,366.20 and 658.80 is: 908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.08 : 1,366.20 = 658.80 : x
  2. Step 2: Convert to fraction form
    991.08/1,366.20 = 658.80/x
  3. Step 3: Cross multiply
    991.08x = 1,366.20 × 658.80
  4. Step 4: Simplify right side
    991.08x = 900,052.56
  5. Step 5: Solve for x
    x = 900,052.56/991.08
  6. Step 6: Final answer
    x = 908.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.