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Finding the Fourth Proportional to 1,007.62, 1,511.38 and 277.20

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Solution

The fourth proportional to 1,007.62, 1,511.38 and 277.20 is: 415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.62 : 1,511.38 = 277.20 : x
  2. Step 2: Convert to fraction form
    1,007.62/1,511.38 = 277.20/x
  3. Step 3: Cross multiply
    1,007.62x = 1,511.38 × 277.20
  4. Step 4: Simplify right side
    1,007.62x = 418,954.54
  5. Step 5: Solve for x
    x = 418,954.54/1,007.62
  6. Step 6: Final answer
    x = 415.79

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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.