Home / 1,146.26-1,719.39-280.58

Finding the Fourth Proportional to 1,146.26, 1,719.39 and 280.58

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Solution

The fourth proportional to 1,146.26, 1,719.39 and 280.58 is: 420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.26 : 1,719.39 = 280.58 : x
  2. Step 2: Convert to fraction form
    1,146.26/1,719.39 = 280.58/x
  3. Step 3: Cross multiply
    1,146.26x = 1,719.39 × 280.58
  4. Step 4: Simplify right side
    1,146.26x = 482,417.85
  5. Step 5: Solve for x
    x = 482,417.85/1,146.26
  6. Step 6: Final answer
    x = 420.86

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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.