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Finding the Fourth Proportional to 2,454.55, 3,680.56 and 722.95

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Solution

The fourth proportional to 2,454.55, 3,680.56 and 722.95 is: 1,084.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.55 : 3,680.56 = 722.95 : x
  2. Step 2: Convert to fraction form
    2,454.55/3,680.56 = 722.95/x
  3. Step 3: Cross multiply
    2,454.55x = 3,680.56 × 722.95
  4. Step 4: Simplify right side
    2,454.55x = 2,660,860.85
  5. Step 5: Solve for x
    x = 2,660,860.85/2,454.55
  6. Step 6: Final answer
    x = 1,084.05

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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.