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Finding the Fourth Proportional to 1,138.58, 1,707.89 and 480.28

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Solution

The fourth proportional to 1,138.58, 1,707.89 and 480.28 is: 720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.58 : 1,707.89 = 480.28 : x
  2. Step 2: Convert to fraction form
    1,138.58/1,707.89 = 480.28/x
  3. Step 3: Cross multiply
    1,138.58x = 1,707.89 × 480.28
  4. Step 4: Simplify right side
    1,138.58x = 820,261.94
  5. Step 5: Solve for x
    x = 820,261.94/1,138.58
  6. Step 6: Final answer
    x = 720.42

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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.