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Finding the Fourth Proportional to 1,589.85, 2,383.32 and 616.68

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Solution

The fourth proportional to 1,589.85, 2,383.32 and 616.68 is: 924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.85 : 2,383.32 = 616.68 : x
  2. Step 2: Convert to fraction form
    1,589.85/2,383.32 = 616.68/x
  3. Step 3: Cross multiply
    1,589.85x = 2,383.32 × 616.68
  4. Step 4: Simplify right side
    1,589.85x = 1,469,745.78
  5. Step 5: Solve for x
    x = 1,469,745.78/1,589.85
  6. Step 6: Final answer
    x = 924.46

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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.