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Finding the Fourth Proportional to 1,612.35, 2,418.53 and 789.89

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Solution

The fourth proportional to 1,612.35, 2,418.53 and 789.89 is: 1,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.35 : 2,418.53 = 789.89 : x
  2. Step 2: Convert to fraction form
    1,612.35/2,418.53 = 789.89/x
  3. Step 3: Cross multiply
    1,612.35x = 2,418.53 × 789.89
  4. Step 4: Simplify right side
    1,612.35x = 1,910,356.62
  5. Step 5: Solve for x
    x = 1,910,356.62/1,612.35
  6. Step 6: Final answer
    x = 1,184.83

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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.