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Finding the Fourth Proportional to 885.74, 1,224.97 and 792.32

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Solution

The fourth proportional to 885.74, 1,224.97 and 792.32 is: 1,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.74 : 1,224.97 = 792.32 : x
  2. Step 2: Convert to fraction form
    885.74/1,224.97 = 792.32/x
  3. Step 3: Cross multiply
    885.74x = 1,224.97 × 792.32
  4. Step 4: Simplify right side
    885.74x = 970,560.12
  5. Step 5: Solve for x
    x = 970,560.12/885.74
  6. Step 6: Final answer
    x = 1,095.77

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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.