Home / 1,610.25-2,414.76-686.24

Finding the Fourth Proportional to 1,610.25, 2,414.76 and 686.24

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Solution

The fourth proportional to 1,610.25, 2,414.76 and 686.24 is: 1,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.25 : 2,414.76 = 686.24 : x
  2. Step 2: Convert to fraction form
    1,610.25/2,414.76 = 686.24/x
  3. Step 3: Cross multiply
    1,610.25x = 2,414.76 × 686.24
  4. Step 4: Simplify right side
    1,610.25x = 1,657,104.90
  5. Step 5: Solve for x
    x = 1,657,104.90/1,610.25
  6. Step 6: Final answer
    x = 1,029.10

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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.