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Finding the Fourth Proportional to 1,382.95, 2,074.70 and 409.02

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Solution

The fourth proportional to 1,382.95, 2,074.70 and 409.02 is: 613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.95 : 2,074.70 = 409.02 : x
  2. Step 2: Convert to fraction form
    1,382.95/2,074.70 = 409.02/x
  3. Step 3: Cross multiply
    1,382.95x = 2,074.70 × 409.02
  4. Step 4: Simplify right side
    1,382.95x = 848,593.79
  5. Step 5: Solve for x
    x = 848,593.79/1,382.95
  6. Step 6: Final answer
    x = 613.61

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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.