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Finding the Fourth Proportional to 724.95, 1,081.50 and 715.74

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Solution

The fourth proportional to 724.95, 1,081.50 and 715.74 is: 1,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.95 : 1,081.50 = 715.74 : x
  2. Step 2: Convert to fraction form
    724.95/1,081.50 = 715.74/x
  3. Step 3: Cross multiply
    724.95x = 1,081.50 × 715.74
  4. Step 4: Simplify right side
    724.95x = 774,072.81
  5. Step 5: Solve for x
    x = 774,072.81/724.95
  6. Step 6: Final answer
    x = 1,067.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.