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Finding the Fourth Proportional to 792.50, 1,091.00 and 681.53

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Solution

The fourth proportional to 792.50, 1,091.00 and 681.53 is: 938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.50 : 1,091.00 = 681.53 : x
  2. Step 2: Convert to fraction form
    792.50/1,091.00 = 681.53/x
  3. Step 3: Cross multiply
    792.50x = 1,091.00 × 681.53
  4. Step 4: Simplify right side
    792.50x = 743,545.48
  5. Step 5: Solve for x
    x = 743,545.48/792.50
  6. Step 6: Final answer
    x = 938.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.