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Finding the Fourth Proportional to 759.58, 1,138.98 and 512.78

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Solution

The fourth proportional to 759.58, 1,138.98 and 512.78 is: 768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.58 : 1,138.98 = 512.78 : x
  2. Step 2: Convert to fraction form
    759.58/1,138.98 = 512.78/x
  3. Step 3: Cross multiply
    759.58x = 1,138.98 × 512.78
  4. Step 4: Simplify right side
    759.58x = 584,038.55
  5. Step 5: Solve for x
    x = 584,038.55/759.58
  6. Step 6: Final answer
    x = 768.90

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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.