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Finding the Fourth Proportional to 1,174.48, 1,621.13 and 726.49

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Solution

The fourth proportional to 1,174.48, 1,621.13 and 726.49 is: 1,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.48 : 1,621.13 = 726.49 : x
  2. Step 2: Convert to fraction form
    1,174.48/1,621.13 = 726.49/x
  3. Step 3: Cross multiply
    1,174.48x = 1,621.13 × 726.49
  4. Step 4: Simplify right side
    1,174.48x = 1,177,728.10
  5. Step 5: Solve for x
    x = 1,177,728.10/1,174.48
  6. Step 6: Final answer
    x = 1,002.76

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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.