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Finding the Fourth Proportional to 726.60, 1,084.13 and 674.99

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Solution

The fourth proportional to 726.60, 1,084.13 and 674.99 is: 1,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.60 : 1,084.13 = 674.99 : x
  2. Step 2: Convert to fraction form
    726.60/1,084.13 = 674.99/x
  3. Step 3: Cross multiply
    726.60x = 1,084.13 × 674.99
  4. Step 4: Simplify right side
    726.60x = 731,773.18
  5. Step 5: Solve for x
    x = 731,773.18/726.60
  6. Step 6: Final answer
    x = 1,007.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.