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Finding the Fourth Proportional to 1,121.82, 1,679.28 and 709.54

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Solution

The fourth proportional to 1,121.82, 1,679.28 and 709.54 is: 1,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.82 : 1,679.28 = 709.54 : x
  2. Step 2: Convert to fraction form
    1,121.82/1,679.28 = 709.54/x
  3. Step 3: Cross multiply
    1,121.82x = 1,679.28 × 709.54
  4. Step 4: Simplify right side
    1,121.82x = 1,191,516.33
  5. Step 5: Solve for x
    x = 1,191,516.33/1,121.82
  6. Step 6: Final answer
    x = 1,062.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.