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Finding the Fourth Proportional to 822.90, 1,134.54 and 560.46

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Solution

The fourth proportional to 822.90, 1,134.54 and 560.46 is: 772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.90 : 1,134.54 = 560.46 : x
  2. Step 2: Convert to fraction form
    822.90/1,134.54 = 560.46/x
  3. Step 3: Cross multiply
    822.90x = 1,134.54 × 560.46
  4. Step 4: Simplify right side
    822.90x = 635,864.29
  5. Step 5: Solve for x
    x = 635,864.29/822.90
  6. Step 6: Final answer
    x = 772.71

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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.