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Finding the Fourth Proportional to 726.78, 1,091.34 and 402.60

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Solution

The fourth proportional to 726.78, 1,091.34 and 402.60 is: 604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.78 : 1,091.34 = 402.60 : x
  2. Step 2: Convert to fraction form
    726.78/1,091.34 = 402.60/x
  3. Step 3: Cross multiply
    726.78x = 1,091.34 × 402.60
  4. Step 4: Simplify right side
    726.78x = 439,373.48
  5. Step 5: Solve for x
    x = 439,373.48/726.78
  6. Step 6: Final answer
    x = 604.55

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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.