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Finding the Fourth Proportional to 1,591.89, 2,387.37 and 551.85

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Solution

The fourth proportional to 1,591.89, 2,387.37 and 551.85 is: 827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.89 : 2,387.37 = 551.85 : x
  2. Step 2: Convert to fraction form
    1,591.89/2,387.37 = 551.85/x
  3. Step 3: Cross multiply
    1,591.89x = 2,387.37 × 551.85
  4. Step 4: Simplify right side
    1,591.89x = 1,317,464.17
  5. Step 5: Solve for x
    x = 1,317,464.17/1,591.89
  6. Step 6: Final answer
    x = 827.61

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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.