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Finding the Fourth Proportional to 1,647.50, 2,471.24 and 414.95

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Solution

The fourth proportional to 1,647.50, 2,471.24 and 414.95 is: 622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.50 : 2,471.24 = 414.95 : x
  2. Step 2: Convert to fraction form
    1,647.50/2,471.24 = 414.95/x
  3. Step 3: Cross multiply
    1,647.50x = 2,471.24 × 414.95
  4. Step 4: Simplify right side
    1,647.50x = 1,025,429.72
  5. Step 5: Solve for x
    x = 1,025,429.72/1,647.50
  6. Step 6: Final answer
    x = 622.42

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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.