Home / 1,609.20-2,414.34-787.50

Finding the Fourth Proportional to 1,609.20, 2,414.34 and 787.50

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Solution

The fourth proportional to 1,609.20, 2,414.34 and 787.50 is: 1,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.20 : 2,414.34 = 787.50 : x
  2. Step 2: Convert to fraction form
    1,609.20/2,414.34 = 787.50/x
  3. Step 3: Cross multiply
    1,609.20x = 2,414.34 × 787.50
  4. Step 4: Simplify right side
    1,609.20x = 1,901,292.75
  5. Step 5: Solve for x
    x = 1,901,292.75/1,609.20
  6. Step 6: Final answer
    x = 1,181.51

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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.