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Finding the Fourth Proportional to 759.56, 1,138.67 and 272.51

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Solution

The fourth proportional to 759.56, 1,138.67 and 272.51 is: 408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.56 : 1,138.67 = 272.51 : x
  2. Step 2: Convert to fraction form
    759.56/1,138.67 = 272.51/x
  3. Step 3: Cross multiply
    759.56x = 1,138.67 × 272.51
  4. Step 4: Simplify right side
    759.56x = 310,291.91
  5. Step 5: Solve for x
    x = 310,291.91/759.56
  6. Step 6: Final answer
    x = 408.51

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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.