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Finding the Fourth Proportional to 1,382.78, 2,074.49 and 458.30

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Solution

The fourth proportional to 1,382.78, 2,074.49 and 458.30 is: 687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.78 : 2,074.49 = 458.30 : x
  2. Step 2: Convert to fraction form
    1,382.78/2,074.49 = 458.30/x
  3. Step 3: Cross multiply
    1,382.78x = 2,074.49 × 458.30
  4. Step 4: Simplify right side
    1,382.78x = 950,738.77
  5. Step 5: Solve for x
    x = 950,738.77/1,382.78
  6. Step 6: Final answer
    x = 687.56

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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.