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Finding the Fourth Proportional to 822.44, 1,134.24 and 527.60

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Solution

The fourth proportional to 822.44, 1,134.24 and 527.60 is: 727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.44 : 1,134.24 = 527.60 : x
  2. Step 2: Convert to fraction form
    822.44/1,134.24 = 527.60/x
  3. Step 3: Cross multiply
    822.44x = 1,134.24 × 527.60
  4. Step 4: Simplify right side
    822.44x = 598,425.02
  5. Step 5: Solve for x
    x = 598,425.02/822.44
  6. Step 6: Final answer
    x = 727.62

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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.