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Finding the Fourth Proportional to 1,348.34, 2,021.52 and 423.39

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Solution

The fourth proportional to 1,348.34, 2,021.52 and 423.39 is: 634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.34 : 2,021.52 = 423.39 : x
  2. Step 2: Convert to fraction form
    1,348.34/2,021.52 = 423.39/x
  3. Step 3: Cross multiply
    1,348.34x = 2,021.52 × 423.39
  4. Step 4: Simplify right side
    1,348.34x = 855,891.35
  5. Step 5: Solve for x
    x = 855,891.35/1,348.34
  6. Step 6: Final answer
    x = 634.78

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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.