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Finding the Fourth Proportional to 2,292.35, 3,438 and 648.45

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Solution

The fourth proportional to 2,292.35, 3,438 and 648.45 is: 972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.35 : 3,438 = 648.45 : x
  2. Step 2: Convert to fraction form
    2,292.35/3,438 = 648.45/x
  3. Step 3: Cross multiply
    2,292.35x = 3,438 × 648.45
  4. Step 4: Simplify right side
    2,292.35x = 2,229,371.10
  5. Step 5: Solve for x
    x = 2,229,371.10/2,292.35
  6. Step 6: Final answer
    x = 972.53

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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.