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Finding the Fourth Proportional to 660.56, 991.17 and 499.23

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Solution

The fourth proportional to 660.56, 991.17 and 499.23 is: 749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.56 : 991.17 = 499.23 : x
  2. Step 2: Convert to fraction form
    660.56/991.17 = 499.23/x
  3. Step 3: Cross multiply
    660.56x = 991.17 × 499.23
  4. Step 4: Simplify right side
    660.56x = 494,821.80
  5. Step 5: Solve for x
    x = 494,821.80/660.56
  6. Step 6: Final answer
    x = 749.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.