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Finding the Fourth Proportional to 1,007.45, 1,511.16 and 277

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Solution

The fourth proportional to 1,007.45, 1,511.16 and 277 is: 415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.45 : 1,511.16 = 277 : x
  2. Step 2: Convert to fraction form
    1,007.45/1,511.16 = 277/x
  3. Step 3: Cross multiply
    1,007.45x = 1,511.16 × 277
  4. Step 4: Simplify right side
    1,007.45x = 418,589.94
  5. Step 5: Solve for x
    x = 418,589.94/1,007.45
  6. Step 6: Final answer
    x = 415.49

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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.