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Finding the Fourth Proportional to 1,043.12, 1,439.97 and 729.43

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Solution

The fourth proportional to 1,043.12, 1,439.97 and 729.43 is: 1,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.12 : 1,439.97 = 729.43 : x
  2. Step 2: Convert to fraction form
    1,043.12/1,439.97 = 729.43/x
  3. Step 3: Cross multiply
    1,043.12x = 1,439.97 × 729.43
  4. Step 4: Simplify right side
    1,043.12x = 1,050,357.32
  5. Step 5: Solve for x
    x = 1,050,357.32/1,043.12
  6. Step 6: Final answer
    x = 1,006.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.