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Finding the Fourth Proportional to 726.62, 1,090.22 and 316.04

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Solution

The fourth proportional to 726.62, 1,090.22 and 316.04 is: 474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.62 : 1,090.22 = 316.04 : x
  2. Step 2: Convert to fraction form
    726.62/1,090.22 = 316.04/x
  3. Step 3: Cross multiply
    726.62x = 1,090.22 × 316.04
  4. Step 4: Simplify right side
    726.62x = 344,553.13
  5. Step 5: Solve for x
    x = 344,553.13/726.62
  6. Step 6: Final answer
    x = 474.19

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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.