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Finding the Fourth Proportional to 822.34, 1,232.79 and 432.46

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Solution

The fourth proportional to 822.34, 1,232.79 and 432.46 is: 648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.34 : 1,232.79 = 432.46 : x
  2. Step 2: Convert to fraction form
    822.34/1,232.79 = 432.46/x
  3. Step 3: Cross multiply
    822.34x = 1,232.79 × 432.46
  4. Step 4: Simplify right side
    822.34x = 533,132.36
  5. Step 5: Solve for x
    x = 533,132.36/822.34
  6. Step 6: Final answer
    x = 648.31

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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.