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Finding the Fourth Proportional to 2,251.60, 3,377.12 and 608.24

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Solution

The fourth proportional to 2,251.60, 3,377.12 and 608.24 is: 912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.60 : 3,377.12 = 608.24 : x
  2. Step 2: Convert to fraction form
    2,251.60/3,377.12 = 608.24/x
  3. Step 3: Cross multiply
    2,251.60x = 3,377.12 × 608.24
  4. Step 4: Simplify right side
    2,251.60x = 2,054,099.47
  5. Step 5: Solve for x
    x = 2,054,099.47/2,251.60
  6. Step 6: Final answer
    x = 912.28

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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.