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Finding the Fourth Proportional to 822.85, 1,231.85 and 431.92

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Solution

The fourth proportional to 822.85, 1,231.85 and 431.92 is: 646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.85 : 1,231.85 = 431.92 : x
  2. Step 2: Convert to fraction form
    822.85/1,231.85 = 431.92/x
  3. Step 3: Cross multiply
    822.85x = 1,231.85 × 431.92
  4. Step 4: Simplify right side
    822.85x = 532,060.65
  5. Step 5: Solve for x
    x = 532,060.65/822.85
  6. Step 6: Final answer
    x = 646.61

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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.