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Finding the Fourth Proportional to 822.06, 1,133.73 and 560.43

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Solution

The fourth proportional to 822.06, 1,133.73 and 560.43 is: 772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.06 : 1,133.73 = 560.43 : x
  2. Step 2: Convert to fraction form
    822.06/1,133.73 = 560.43/x
  3. Step 3: Cross multiply
    822.06x = 1,133.73 × 560.43
  4. Step 4: Simplify right side
    822.06x = 635,376.30
  5. Step 5: Solve for x
    x = 635,376.30/822.06
  6. Step 6: Final answer
    x = 772.91

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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.