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Finding the Fourth Proportional to 1,138.35, 1,708.19 and 480.18

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Solution

The fourth proportional to 1,138.35, 1,708.19 and 480.18 is: 720.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.35 : 1,708.19 = 480.18 : x
  2. Step 2: Convert to fraction form
    1,138.35/1,708.19 = 480.18/x
  3. Step 3: Cross multiply
    1,138.35x = 1,708.19 × 480.18
  4. Step 4: Simplify right side
    1,138.35x = 820,238.67
  5. Step 5: Solve for x
    x = 820,238.67/1,138.35
  6. Step 6: Final answer
    x = 720.55

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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.