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Finding the Fourth Proportional to 1,764.57, 2,645.66 and 724.28

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Solution

The fourth proportional to 1,764.57, 2,645.66 and 724.28 is: 1,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.57 : 2,645.66 = 724.28 : x
  2. Step 2: Convert to fraction form
    1,764.57/2,645.66 = 724.28/x
  3. Step 3: Cross multiply
    1,764.57x = 2,645.66 × 724.28
  4. Step 4: Simplify right side
    1,764.57x = 1,916,181.78
  5. Step 5: Solve for x
    x = 1,916,181.78/1,764.57
  6. Step 6: Final answer
    x = 1,085.92

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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.