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Finding the Fourth Proportional to 1,121.56, 1,678.92 and 709.32

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Solution

The fourth proportional to 1,121.56, 1,678.92 and 709.32 is: 1,061.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.56 : 1,678.92 = 709.32 : x
  2. Step 2: Convert to fraction form
    1,121.56/1,678.92 = 709.32/x
  3. Step 3: Cross multiply
    1,121.56x = 1,678.92 × 709.32
  4. Step 4: Simplify right side
    1,121.56x = 1,190,891.53
  5. Step 5: Solve for x
    x = 1,190,891.53/1,121.56
  6. Step 6: Final answer
    x = 1,061.82

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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.