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Finding the Fourth Proportional to 759.46, 1,138.68 and 613.40

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Solution

The fourth proportional to 759.46, 1,138.68 and 613.40 is: 919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.46 : 1,138.68 = 613.40 : x
  2. Step 2: Convert to fraction form
    759.46/1,138.68 = 613.40/x
  3. Step 3: Cross multiply
    759.46x = 1,138.68 × 613.40
  4. Step 4: Simplify right side
    759.46x = 698,466.31
  5. Step 5: Solve for x
    x = 698,466.31/759.46
  6. Step 6: Final answer
    x = 919.69

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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.