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Finding the Fourth Proportional to 1,112.45, 1,669.13 and 679.61

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Solution

The fourth proportional to 1,112.45, 1,669.13 and 679.61 is: 1,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.45 : 1,669.13 = 679.61 : x
  2. Step 2: Convert to fraction form
    1,112.45/1,669.13 = 679.61/x
  3. Step 3: Cross multiply
    1,112.45x = 1,669.13 × 679.61
  4. Step 4: Simplify right side
    1,112.45x = 1,134,345.70
  5. Step 5: Solve for x
    x = 1,134,345.70/1,112.45
  6. Step 6: Final answer
    x = 1,019.69

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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.