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Finding the Fourth Proportional to 822.56, 1,134.18 and 764.24

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Solution

The fourth proportional to 822.56, 1,134.18 and 764.24 is: 1,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.56 : 1,134.18 = 764.24 : x
  2. Step 2: Convert to fraction form
    822.56/1,134.18 = 764.24/x
  3. Step 3: Cross multiply
    822.56x = 1,134.18 × 764.24
  4. Step 4: Simplify right side
    822.56x = 866,785.72
  5. Step 5: Solve for x
    x = 866,785.72/822.56
  6. Step 6: Final answer
    x = 1,053.77

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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.