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Finding the Fourth Proportional to 2,291.84, 3,438.06 and 648.43

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Solution

The fourth proportional to 2,291.84, 3,438.06 and 648.43 is: 972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.84 : 3,438.06 = 648.43 : x
  2. Step 2: Convert to fraction form
    2,291.84/3,438.06 = 648.43/x
  3. Step 3: Cross multiply
    2,291.84x = 3,438.06 × 648.43
  4. Step 4: Simplify right side
    2,291.84x = 2,229,330.22
  5. Step 5: Solve for x
    x = 2,229,330.22/2,291.84
  6. Step 6: Final answer
    x = 972.73

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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.