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Finding the Fourth Proportional to 822.76, 1,231.92 and 578.92

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Solution

The fourth proportional to 822.76, 1,231.92 and 578.92 is: 866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.76 : 1,231.92 = 578.92 : x
  2. Step 2: Convert to fraction form
    822.76/1,231.92 = 578.92/x
  3. Step 3: Cross multiply
    822.76x = 1,231.92 × 578.92
  4. Step 4: Simplify right side
    822.76x = 713,183.13
  5. Step 5: Solve for x
    x = 713,183.13/822.76
  6. Step 6: Final answer
    x = 866.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.