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Finding the Fourth Proportional to 1,148.44, 1,722.92 and 418

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Solution

The fourth proportional to 1,148.44, 1,722.92 and 418 is: 627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.44 : 1,722.92 = 418 : x
  2. Step 2: Convert to fraction form
    1,148.44/1,722.92 = 418/x
  3. Step 3: Cross multiply
    1,148.44x = 1,722.92 × 418
  4. Step 4: Simplify right side
    1,148.44x = 720,180.56
  5. Step 5: Solve for x
    x = 720,180.56/1,148.44
  6. Step 6: Final answer
    x = 627.09

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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.