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Finding the Fourth Proportional to 1,591.37, 2,387.27 and 551.09

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Solution

The fourth proportional to 1,591.37, 2,387.27 and 551.09 is: 826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.37 : 2,387.27 = 551.09 : x
  2. Step 2: Convert to fraction form
    1,591.37/2,387.27 = 551.09/x
  3. Step 3: Cross multiply
    1,591.37x = 2,387.27 × 551.09
  4. Step 4: Simplify right side
    1,591.37x = 1,315,597.87
  5. Step 5: Solve for x
    x = 1,315,597.87/1,591.37
  6. Step 6: Final answer
    x = 826.71

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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.