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Finding the Fourth Proportional to 728.89, 1,098.82 and 681.91

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Solution

The fourth proportional to 728.89, 1,098.82 and 681.91 is: 1,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.89 : 1,098.82 = 681.91 : x
  2. Step 2: Convert to fraction form
    728.89/1,098.82 = 681.91/x
  3. Step 3: Cross multiply
    728.89x = 1,098.82 × 681.91
  4. Step 4: Simplify right side
    728.89x = 749,296.35
  5. Step 5: Solve for x
    x = 749,296.35/728.89
  6. Step 6: Final answer
    x = 1,028.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.