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Finding the Fourth Proportional to 822.25, 1,127.30 and 807.47

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Solution

The fourth proportional to 822.25, 1,127.30 and 807.47 is: 1,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.25 : 1,127.30 = 807.47 : x
  2. Step 2: Convert to fraction form
    822.25/1,127.30 = 807.47/x
  3. Step 3: Cross multiply
    822.25x = 1,127.30 × 807.47
  4. Step 4: Simplify right side
    822.25x = 910,260.93
  5. Step 5: Solve for x
    x = 910,260.93/822.25
  6. Step 6: Final answer
    x = 1,107.04

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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.