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Finding the Fourth Proportional to 822.31, 1,234.13 and 432.54

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Solution

The fourth proportional to 822.31, 1,234.13 and 432.54 is: 649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.31 : 1,234.13 = 432.54 : x
  2. Step 2: Convert to fraction form
    822.31/1,234.13 = 432.54/x
  3. Step 3: Cross multiply
    822.31x = 1,234.13 × 432.54
  4. Step 4: Simplify right side
    822.31x = 533,808.43
  5. Step 5: Solve for x
    x = 533,808.43/822.31
  6. Step 6: Final answer
    x = 649.15

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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.