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Finding the Fourth Proportional to 726.88, 1,003.55 and 560.78

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Solution

The fourth proportional to 726.88, 1,003.55 and 560.78 is: 774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.88 : 1,003.55 = 560.78 : x
  2. Step 2: Convert to fraction form
    726.88/1,003.55 = 560.78/x
  3. Step 3: Cross multiply
    726.88x = 1,003.55 × 560.78
  4. Step 4: Simplify right side
    726.88x = 562,767.97
  5. Step 5: Solve for x
    x = 562,767.97/726.88
  6. Step 6: Final answer
    x = 774.23

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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.