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Finding the Fourth Proportional to 1,049.12, 1,447.20 and 717.92

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Solution

The fourth proportional to 1,049.12, 1,447.20 and 717.92 is: 990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.12 : 1,447.20 = 717.92 : x
  2. Step 2: Convert to fraction form
    1,049.12/1,447.20 = 717.92/x
  3. Step 3: Cross multiply
    1,049.12x = 1,447.20 × 717.92
  4. Step 4: Simplify right side
    1,049.12x = 1,038,973.82
  5. Step 5: Solve for x
    x = 1,038,973.82/1,049.12
  6. Step 6: Final answer
    x = 990.33

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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.