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Finding the Fourth Proportional to 1,593.73, 2,200.80 and 1,200.07

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Solution

The fourth proportional to 1,593.73, 2,200.80 and 1,200.07 is: 1,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.73 : 2,200.80 = 1,200.07 : x
  2. Step 2: Convert to fraction form
    1,593.73/2,200.80 = 1,200.07/x
  3. Step 3: Cross multiply
    1,593.73x = 2,200.80 × 1,200.07
  4. Step 4: Simplify right side
    1,593.73x = 2,641,114.06
  5. Step 5: Solve for x
    x = 2,641,114.06/1,593.73
  6. Step 6: Final answer
    x = 1,657.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.