Home / 1,543.19-2,314.54-721.38

Finding the Fourth Proportional to 1,543.19, 2,314.54 and 721.38

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Solution

The fourth proportional to 1,543.19, 2,314.54 and 721.38 is: 1,081.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.19 : 2,314.54 = 721.38 : x
  2. Step 2: Convert to fraction form
    1,543.19/2,314.54 = 721.38/x
  3. Step 3: Cross multiply
    1,543.19x = 2,314.54 × 721.38
  4. Step 4: Simplify right side
    1,543.19x = 1,669,672.45
  5. Step 5: Solve for x
    x = 1,669,672.45/1,543.19
  6. Step 6: Final answer
    x = 1,081.97

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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.