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Finding the Fourth Proportional to 822.97, 1,232.04 and 432.05

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Solution

The fourth proportional to 822.97, 1,232.04 and 432.05 is: 646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.97 : 1,232.04 = 432.05 : x
  2. Step 2: Convert to fraction form
    822.97/1,232.04 = 432.05/x
  3. Step 3: Cross multiply
    822.97x = 1,232.04 × 432.05
  4. Step 4: Simplify right side
    822.97x = 532,298.34
  5. Step 5: Solve for x
    x = 532,298.34/822.97
  6. Step 6: Final answer
    x = 646.80

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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.