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Finding the Fourth Proportional to 1,508.60, 2,261.82 and 728.75

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Solution

The fourth proportional to 1,508.60, 2,261.82 and 728.75 is: 1,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.60 : 2,261.82 = 728.75 : x
  2. Step 2: Convert to fraction form
    1,508.60/2,261.82 = 728.75/x
  3. Step 3: Cross multiply
    1,508.60x = 2,261.82 × 728.75
  4. Step 4: Simplify right side
    1,508.60x = 1,648,301.33
  5. Step 5: Solve for x
    x = 1,648,301.33/1,508.60
  6. Step 6: Final answer
    x = 1,092.60

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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.