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Finding the Fourth Proportional to 1,306.94, 1,960.15 and 613.43

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Solution

The fourth proportional to 1,306.94, 1,960.15 and 613.43 is: 920.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.94 : 1,960.15 = 613.43 : x
  2. Step 2: Convert to fraction form
    1,306.94/1,960.15 = 613.43/x
  3. Step 3: Cross multiply
    1,306.94x = 1,960.15 × 613.43
  4. Step 4: Simplify right side
    1,306.94x = 1,202,414.81
  5. Step 5: Solve for x
    x = 1,202,414.81/1,306.94
  6. Step 6: Final answer
    x = 920.02

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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.