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Finding the Fourth Proportional to 1,049.38, 1,447.04 and 699.46

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Solution

The fourth proportional to 1,049.38, 1,447.04 and 699.46 is: 964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.38 : 1,447.04 = 699.46 : x
  2. Step 2: Convert to fraction form
    1,049.38/1,447.04 = 699.46/x
  3. Step 3: Cross multiply
    1,049.38x = 1,447.04 × 699.46
  4. Step 4: Simplify right side
    1,049.38x = 1,012,146.60
  5. Step 5: Solve for x
    x = 1,012,146.60/1,049.38
  6. Step 6: Final answer
    x = 964.52

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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.