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Finding the Fourth Proportional to 2,659.50, 3,989.25 and 711.65

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Solution

The fourth proportional to 2,659.50, 3,989.25 and 711.65 is: 1,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.50 : 3,989.25 = 711.65 : x
  2. Step 2: Convert to fraction form
    2,659.50/3,989.25 = 711.65/x
  3. Step 3: Cross multiply
    2,659.50x = 3,989.25 × 711.65
  4. Step 4: Simplify right side
    2,659.50x = 2,838,959.74
  5. Step 5: Solve for x
    x = 2,838,959.74/2,659.50
  6. Step 6: Final answer
    x = 1,067.48

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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.