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Finding the Fourth Proportional to 822.72, 1,132.74 and 781.68

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Solution

The fourth proportional to 822.72, 1,132.74 and 781.68 is: 1,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.72 : 1,132.74 = 781.68 : x
  2. Step 2: Convert to fraction form
    822.72/1,132.74 = 781.68/x
  3. Step 3: Cross multiply
    822.72x = 1,132.74 × 781.68
  4. Step 4: Simplify right side
    822.72x = 885,440.20
  5. Step 5: Solve for x
    x = 885,440.20/822.72
  6. Step 6: Final answer
    x = 1,076.24

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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.