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Finding the Fourth Proportional to 759.46, 1,138.69 and 613.39

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Solution

The fourth proportional to 759.46, 1,138.69 and 613.39 is: 919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.46 : 1,138.69 = 613.39 : x
  2. Step 2: Convert to fraction form
    759.46/1,138.69 = 613.39/x
  3. Step 3: Cross multiply
    759.46x = 1,138.69 × 613.39
  4. Step 4: Simplify right side
    759.46x = 698,461.06
  5. Step 5: Solve for x
    x = 698,461.06/759.46
  6. Step 6: Final answer
    x = 919.68

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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.