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Finding the Fourth Proportional to 792.48, 1,092.70 and 743.28

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Solution

The fourth proportional to 792.48, 1,092.70 and 743.28 is: 1,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.48 : 1,092.70 = 743.28 : x
  2. Step 2: Convert to fraction form
    792.48/1,092.70 = 743.28/x
  3. Step 3: Cross multiply
    792.48x = 1,092.70 × 743.28
  4. Step 4: Simplify right side
    792.48x = 812,182.06
  5. Step 5: Solve for x
    x = 812,182.06/792.48
  6. Step 6: Final answer
    x = 1,024.86

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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.