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Finding the Fourth Proportional to 1,138.75, 1,706.79 and 480.49

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Solution

The fourth proportional to 1,138.75, 1,706.79 and 480.49 is: 720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.75 : 1,706.79 = 480.49 : x
  2. Step 2: Convert to fraction form
    1,138.75/1,706.79 = 480.49/x
  3. Step 3: Cross multiply
    1,138.75x = 1,706.79 × 480.49
  4. Step 4: Simplify right side
    1,138.75x = 820,095.53
  5. Step 5: Solve for x
    x = 820,095.53/1,138.75
  6. Step 6: Final answer
    x = 720.17

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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.