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Finding the Fourth Proportional to 726.48, 1,090.22 and 315.90

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Solution

The fourth proportional to 726.48, 1,090.22 and 315.90 is: 474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.48 : 1,090.22 = 315.90 : x
  2. Step 2: Convert to fraction form
    726.48/1,090.22 = 315.90/x
  3. Step 3: Cross multiply
    726.48x = 1,090.22 × 315.90
  4. Step 4: Simplify right side
    726.48x = 344,398.92
  5. Step 5: Solve for x
    x = 344,398.92/726.48
  6. Step 6: Final answer
    x = 474.07

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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.