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Finding the Fourth Proportional to 1,408.52, 2,112.78 and 542.23

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Solution

The fourth proportional to 1,408.52, 2,112.78 and 542.23 is: 813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.52 : 2,112.78 = 542.23 : x
  2. Step 2: Convert to fraction form
    1,408.52/2,112.78 = 542.23/x
  3. Step 3: Cross multiply
    1,408.52x = 2,112.78 × 542.23
  4. Step 4: Simplify right side
    1,408.52x = 1,145,609.45
  5. Step 5: Solve for x
    x = 1,145,609.45/1,408.52
  6. Step 6: Final answer
    x = 813.34

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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.