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Finding the Fourth Proportional to 833.19, 1,248.97 and 422.52

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Solution

The fourth proportional to 833.19, 1,248.97 and 422.52 is: 633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.19 : 1,248.97 = 422.52 : x
  2. Step 2: Convert to fraction form
    833.19/1,248.97 = 422.52/x
  3. Step 3: Cross multiply
    833.19x = 1,248.97 × 422.52
  4. Step 4: Simplify right side
    833.19x = 527,714.80
  5. Step 5: Solve for x
    x = 527,714.80/833.19
  6. Step 6: Final answer
    x = 633.37

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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.