Home / 1,610.24-2,414.43-858.83

Finding the Fourth Proportional to 1,610.24, 2,414.43 and 858.83

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Solution

The fourth proportional to 1,610.24, 2,414.43 and 858.83 is: 1,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.24 : 2,414.43 = 858.83 : x
  2. Step 2: Convert to fraction form
    1,610.24/2,414.43 = 858.83/x
  3. Step 3: Cross multiply
    1,610.24x = 2,414.43 × 858.83
  4. Step 4: Simplify right side
    1,610.24x = 2,073,574.99
  5. Step 5: Solve for x
    x = 2,073,574.99/1,610.24
  6. Step 6: Final answer
    x = 1,287.74

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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.