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Finding the Fourth Proportional to 1,274.46, 1,909.80 and 726.36

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Solution

The fourth proportional to 1,274.46, 1,909.80 and 726.36 is: 1,088.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.46 : 1,909.80 = 726.36 : x
  2. Step 2: Convert to fraction form
    1,274.46/1,909.80 = 726.36/x
  3. Step 3: Cross multiply
    1,274.46x = 1,909.80 × 726.36
  4. Step 4: Simplify right side
    1,274.46x = 1,387,202.33
  5. Step 5: Solve for x
    x = 1,387,202.33/1,274.46
  6. Step 6: Final answer
    x = 1,088.46

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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.