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Finding the Fourth Proportional to 822.17, 1,126.45 and 811.93

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Solution

The fourth proportional to 822.17, 1,126.45 and 811.93 is: 1,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.17 : 1,126.45 = 811.93 : x
  2. Step 2: Convert to fraction form
    822.17/1,126.45 = 811.93/x
  3. Step 3: Cross multiply
    822.17x = 1,126.45 × 811.93
  4. Step 4: Simplify right side
    822.17x = 914,594.29
  5. Step 5: Solve for x
    x = 914,594.29/822.17
  6. Step 6: Final answer
    x = 1,112.41

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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.