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Finding the Fourth Proportional to 822.20, 1,233.60 and 431.78

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Solution

The fourth proportional to 822.20, 1,233.60 and 431.78 is: 647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.20 : 1,233.60 = 431.78 : x
  2. Step 2: Convert to fraction form
    822.20/1,233.60 = 431.78/x
  3. Step 3: Cross multiply
    822.20x = 1,233.60 × 431.78
  4. Step 4: Simplify right side
    822.20x = 532,643.81
  5. Step 5: Solve for x
    x = 532,643.81/822.20
  6. Step 6: Final answer
    x = 647.83

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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.