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Finding the Fourth Proportional to 807.98, 1,209.78 and 422.42

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Solution

The fourth proportional to 807.98, 1,209.78 and 422.42 is: 632.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.98 : 1,209.78 = 422.42 : x
  2. Step 2: Convert to fraction form
    807.98/1,209.78 = 422.42/x
  3. Step 3: Cross multiply
    807.98x = 1,209.78 × 422.42
  4. Step 4: Simplify right side
    807.98x = 511,029.22
  5. Step 5: Solve for x
    x = 511,029.22/807.98
  6. Step 6: Final answer
    x = 632.48

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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.