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Finding the Fourth Proportional to 1,764.10, 2,647.23 and 724.60

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Solution

The fourth proportional to 1,764.10, 2,647.23 and 724.60 is: 1,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.10 : 2,647.23 = 724.60 : x
  2. Step 2: Convert to fraction form
    1,764.10/2,647.23 = 724.60/x
  3. Step 3: Cross multiply
    1,764.10x = 2,647.23 × 724.60
  4. Step 4: Simplify right side
    1,764.10x = 1,918,182.86
  5. Step 5: Solve for x
    x = 1,918,182.86/1,764.10
  6. Step 6: Final answer
    x = 1,087.34

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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.