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Finding the Fourth Proportional to 1,695.26, 2,543.15 and 721.10

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Solution

The fourth proportional to 1,695.26, 2,543.15 and 721.10 is: 1,081.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.26 : 2,543.15 = 721.10 : x
  2. Step 2: Convert to fraction form
    1,695.26/2,543.15 = 721.10/x
  3. Step 3: Cross multiply
    1,695.26x = 2,543.15 × 721.10
  4. Step 4: Simplify right side
    1,695.26x = 1,833,865.47
  5. Step 5: Solve for x
    x = 1,833,865.47/1,695.26
  6. Step 6: Final answer
    x = 1,081.76

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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.