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Finding the Fourth Proportional to 792.59, 1,092.84 and 744.93

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Solution

The fourth proportional to 792.59, 1,092.84 and 744.93 is: 1,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.59 : 1,092.84 = 744.93 : x
  2. Step 2: Convert to fraction form
    792.59/1,092.84 = 744.93/x
  3. Step 3: Cross multiply
    792.59x = 1,092.84 × 744.93
  4. Step 4: Simplify right side
    792.59x = 814,089.30
  5. Step 5: Solve for x
    x = 814,089.30/792.59
  6. Step 6: Final answer
    x = 1,027.13

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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.