Home / 1,146.44-1,719.67-280.76

Finding the Fourth Proportional to 1,146.44, 1,719.67 and 280.76

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Solution

The fourth proportional to 1,146.44, 1,719.67 and 280.76 is: 421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.44 : 1,719.67 = 280.76 : x
  2. Step 2: Convert to fraction form
    1,146.44/1,719.67 = 280.76/x
  3. Step 3: Cross multiply
    1,146.44x = 1,719.67 × 280.76
  4. Step 4: Simplify right side
    1,146.44x = 482,806.30
  5. Step 5: Solve for x
    x = 482,806.30/1,146.44
  6. Step 6: Final answer
    x = 421.13

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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.