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Finding the Fourth Proportional to 822.74, 1,134.21 and 560.42

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Solution

The fourth proportional to 822.74, 1,134.21 and 560.42 is: 772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.74 : 1,134.21 = 560.42 : x
  2. Step 2: Convert to fraction form
    822.74/1,134.21 = 560.42/x
  3. Step 3: Cross multiply
    822.74x = 1,134.21 × 560.42
  4. Step 4: Simplify right side
    822.74x = 635,633.97
  5. Step 5: Solve for x
    x = 635,633.97/822.74
  6. Step 6: Final answer
    x = 772.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.