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Finding the Fourth Proportional to 726.23, 1,087.76 and 451.51

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Solution

The fourth proportional to 726.23, 1,087.76 and 451.51 is: 676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.23 : 1,087.76 = 451.51 : x
  2. Step 2: Convert to fraction form
    726.23/1,087.76 = 451.51/x
  3. Step 3: Cross multiply
    726.23x = 1,087.76 × 451.51
  4. Step 4: Simplify right side
    726.23x = 491,132.93
  5. Step 5: Solve for x
    x = 491,132.93/726.23
  6. Step 6: Final answer
    x = 676.28

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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.