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Finding the Fourth Proportional to 1,593.67, 2,390.10 and 727.78

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Solution

The fourth proportional to 1,593.67, 2,390.10 and 727.78 is: 1,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.67 : 2,390.10 = 727.78 : x
  2. Step 2: Convert to fraction form
    1,593.67/2,390.10 = 727.78/x
  3. Step 3: Cross multiply
    1,593.67x = 2,390.10 × 727.78
  4. Step 4: Simplify right side
    1,593.67x = 1,739,466.98
  5. Step 5: Solve for x
    x = 1,739,466.98/1,593.67
  6. Step 6: Final answer
    x = 1,091.49

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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.