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Finding the Fourth Proportional to 759.15, 1,138.71 and 271.92

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Solution

The fourth proportional to 759.15, 1,138.71 and 271.92 is: 407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.15 : 1,138.71 = 271.92 : x
  2. Step 2: Convert to fraction form
    759.15/1,138.71 = 271.92/x
  3. Step 3: Cross multiply
    759.15x = 1,138.71 × 271.92
  4. Step 4: Simplify right side
    759.15x = 309,638.02
  5. Step 5: Solve for x
    x = 309,638.02/759.15
  6. Step 6: Final answer
    x = 407.87

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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.