Home / 1,629.26-2,442.88-807.78

Finding the Fourth Proportional to 1,629.26, 2,442.88 and 807.78

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Solution

The fourth proportional to 1,629.26, 2,442.88 and 807.78 is: 1,211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.26 : 2,442.88 = 807.78 : x
  2. Step 2: Convert to fraction form
    1,629.26/2,442.88 = 807.78/x
  3. Step 3: Cross multiply
    1,629.26x = 2,442.88 × 807.78
  4. Step 4: Simplify right side
    1,629.26x = 1,973,309.61
  5. Step 5: Solve for x
    x = 1,973,309.61/1,629.26
  6. Step 6: Final answer
    x = 1,211.17

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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.