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Finding the Fourth Proportional to 1,382.83, 2,073.53 and 408.80

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Solution

The fourth proportional to 1,382.83, 2,073.53 and 408.80 is: 612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.83 : 2,073.53 = 408.80 : x
  2. Step 2: Convert to fraction form
    1,382.83/2,073.53 = 408.80/x
  3. Step 3: Cross multiply
    1,382.83x = 2,073.53 × 408.80
  4. Step 4: Simplify right side
    1,382.83x = 847,657.02
  5. Step 5: Solve for x
    x = 847,657.02/1,382.83
  6. Step 6: Final answer
    x = 612.99

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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.