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Finding the Fourth Proportional to 1,515.54, 2,272.34 and 638.61

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Solution

The fourth proportional to 1,515.54, 2,272.34 and 638.61 is: 957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.54 : 2,272.34 = 638.61 : x
  2. Step 2: Convert to fraction form
    1,515.54/2,272.34 = 638.61/x
  3. Step 3: Cross multiply
    1,515.54x = 2,272.34 × 638.61
  4. Step 4: Simplify right side
    1,515.54x = 1,451,135.85
  5. Step 5: Solve for x
    x = 1,451,135.85/1,515.54
  6. Step 6: Final answer
    x = 957.50

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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.