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Finding the Fourth Proportional to 822.48, 1,126.38 and 811.68

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Solution

The fourth proportional to 822.48, 1,126.38 and 811.68 is: 1,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.48 : 1,126.38 = 811.68 : x
  2. Step 2: Convert to fraction form
    822.48/1,126.38 = 811.68/x
  3. Step 3: Cross multiply
    822.48x = 1,126.38 × 811.68
  4. Step 4: Simplify right side
    822.48x = 914,260.12
  5. Step 5: Solve for x
    x = 914,260.12/822.48
  6. Step 6: Final answer
    x = 1,111.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.