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Finding the Fourth Proportional to 726.45, 1,001.80 and 560.40

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Solution

The fourth proportional to 726.45, 1,001.80 and 560.40 is: 772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.45 : 1,001.80 = 560.40 : x
  2. Step 2: Convert to fraction form
    726.45/1,001.80 = 560.40/x
  3. Step 3: Cross multiply
    726.45x = 1,001.80 × 560.40
  4. Step 4: Simplify right side
    726.45x = 561,408.72
  5. Step 5: Solve for x
    x = 561,408.72/726.45
  6. Step 6: Final answer
    x = 772.81

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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.