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Finding the Fourth Proportional to 2,479.54, 3,718.35 and 723.95

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Solution

The fourth proportional to 2,479.54, 3,718.35 and 723.95 is: 1,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.54 : 3,718.35 = 723.95 : x
  2. Step 2: Convert to fraction form
    2,479.54/3,718.35 = 723.95/x
  3. Step 3: Cross multiply
    2,479.54x = 3,718.35 × 723.95
  4. Step 4: Simplify right side
    2,479.54x = 2,691,908.78
  5. Step 5: Solve for x
    x = 2,691,908.78/2,479.54
  6. Step 6: Final answer
    x = 1,085.65

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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.