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Finding the Fourth Proportional to 2,291.96, 3,438 and 648.42

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Solution

The fourth proportional to 2,291.96, 3,438 and 648.42 is: 972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.96 : 3,438 = 648.42 : x
  2. Step 2: Convert to fraction form
    2,291.96/3,438 = 648.42/x
  3. Step 3: Cross multiply
    2,291.96x = 3,438 × 648.42
  4. Step 4: Simplify right side
    2,291.96x = 2,229,267.96
  5. Step 5: Solve for x
    x = 2,229,267.96/2,291.96
  6. Step 6: Final answer
    x = 972.65

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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.