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Finding the Fourth Proportional to 822.29, 1,134.01 and 642.86

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Solution

The fourth proportional to 822.29, 1,134.01 and 642.86 is: 886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.29 : 1,134.01 = 642.86 : x
  2. Step 2: Convert to fraction form
    822.29/1,134.01 = 642.86/x
  3. Step 3: Cross multiply
    822.29x = 1,134.01 × 642.86
  4. Step 4: Simplify right side
    822.29x = 729,005.65
  5. Step 5: Solve for x
    x = 729,005.65/822.29
  6. Step 6: Final answer
    x = 886.56

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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.