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Finding the Fourth Proportional to 724.97, 1,005.80 and 699.05

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Solution

The fourth proportional to 724.97, 1,005.80 and 699.05 is: 969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.97 : 1,005.80 = 699.05 : x
  2. Step 2: Convert to fraction form
    724.97/1,005.80 = 699.05/x
  3. Step 3: Cross multiply
    724.97x = 1,005.80 × 699.05
  4. Step 4: Simplify right side
    724.97x = 703,104.49
  5. Step 5: Solve for x
    x = 703,104.49/724.97
  6. Step 6: Final answer
    x = 969.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.