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Finding the Fourth Proportional to 744.14, 1,115.31 and 537.59

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Solution

The fourth proportional to 744.14, 1,115.31 and 537.59 is: 805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.14 : 1,115.31 = 537.59 : x
  2. Step 2: Convert to fraction form
    744.14/1,115.31 = 537.59/x
  3. Step 3: Cross multiply
    744.14x = 1,115.31 × 537.59
  4. Step 4: Simplify right side
    744.14x = 599,579.50
  5. Step 5: Solve for x
    x = 599,579.50/744.14
  6. Step 6: Final answer
    x = 805.73

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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.