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Finding the Fourth Proportional to 759.70, 1,138.20 and 711.10

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Solution

The fourth proportional to 759.70, 1,138.20 and 711.10 is: 1,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.70 : 1,138.20 = 711.10 : x
  2. Step 2: Convert to fraction form
    759.70/1,138.20 = 711.10/x
  3. Step 3: Cross multiply
    759.70x = 1,138.20 × 711.10
  4. Step 4: Simplify right side
    759.70x = 809,374.02
  5. Step 5: Solve for x
    x = 809,374.02/759.70
  6. Step 6: Final answer
    x = 1,065.39

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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.