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Finding the Fourth Proportional to 2,479.14, 3,718.14 and 723.69

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Solution

The fourth proportional to 2,479.14, 3,718.14 and 723.69 is: 1,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.14 : 3,718.14 = 723.69 : x
  2. Step 2: Convert to fraction form
    2,479.14/3,718.14 = 723.69/x
  3. Step 3: Cross multiply
    2,479.14x = 3,718.14 × 723.69
  4. Step 4: Simplify right side
    2,479.14x = 2,690,780.74
  5. Step 5: Solve for x
    x = 2,690,780.74/2,479.14
  6. Step 6: Final answer
    x = 1,085.37

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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.