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Finding the Fourth Proportional to 1,007.39, 1,511.11 and 276.96

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Solution

The fourth proportional to 1,007.39, 1,511.11 and 276.96 is: 415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.39 : 1,511.11 = 276.96 : x
  2. Step 2: Convert to fraction form
    1,007.39/1,511.11 = 276.96/x
  3. Step 3: Cross multiply
    1,007.39x = 1,511.11 × 276.96
  4. Step 4: Simplify right side
    1,007.39x = 418,521.48
  5. Step 5: Solve for x
    x = 418,521.48/1,007.39
  6. Step 6: Final answer
    x = 415.45

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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.