Home / 1,382.87-2,074.40-459.07

Finding the Fourth Proportional to 1,382.87, 2,074.40 and 459.07

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Solution

The fourth proportional to 1,382.87, 2,074.40 and 459.07 is: 688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.87 : 2,074.40 = 459.07 : x
  2. Step 2: Convert to fraction form
    1,382.87/2,074.40 = 459.07/x
  3. Step 3: Cross multiply
    1,382.87x = 2,074.40 × 459.07
  4. Step 4: Simplify right side
    1,382.87x = 952,288.40
  5. Step 5: Solve for x
    x = 952,288.40/1,382.87
  6. Step 6: Final answer
    x = 688.63

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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.