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Finding the Fourth Proportional to 2,419.55, 3,630.95 and 880.55

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Solution

The fourth proportional to 2,419.55, 3,630.95 and 880.55 is: 1,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.55 : 3,630.95 = 880.55 : x
  2. Step 2: Convert to fraction form
    2,419.55/3,630.95 = 880.55/x
  3. Step 3: Cross multiply
    2,419.55x = 3,630.95 × 880.55
  4. Step 4: Simplify right side
    2,419.55x = 3,197,237.70
  5. Step 5: Solve for x
    x = 3,197,237.70/2,419.55
  6. Step 6: Final answer
    x = 1,321.42

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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.