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Finding the Fourth Proportional to 1,605.87, 2,408.34 and 618.60

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Solution

The fourth proportional to 1,605.87, 2,408.34 and 618.60 is: 927.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.87 : 2,408.34 = 618.60 : x
  2. Step 2: Convert to fraction form
    1,605.87/2,408.34 = 618.60/x
  3. Step 3: Cross multiply
    1,605.87x = 2,408.34 × 618.60
  4. Step 4: Simplify right side
    1,605.87x = 1,489,799.12
  5. Step 5: Solve for x
    x = 1,489,799.12/1,605.87
  6. Step 6: Final answer
    x = 927.72

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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.