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Finding the Fourth Proportional to 801.95, 1,200.33 and 726.17

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Solution

The fourth proportional to 801.95, 1,200.33 and 726.17 is: 1,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.95 : 1,200.33 = 726.17 : x
  2. Step 2: Convert to fraction form
    801.95/1,200.33 = 726.17/x
  3. Step 3: Cross multiply
    801.95x = 1,200.33 × 726.17
  4. Step 4: Simplify right side
    801.95x = 871,637.63
  5. Step 5: Solve for x
    x = 871,637.63/801.95
  6. Step 6: Final answer
    x = 1,086.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.