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Finding the Fourth Proportional to 1,009.14, 1,511.91 and 765.78

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Solution

The fourth proportional to 1,009.14, 1,511.91 and 765.78 is: 1,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.14 : 1,511.91 = 765.78 : x
  2. Step 2: Convert to fraction form
    1,009.14/1,511.91 = 765.78/x
  3. Step 3: Cross multiply
    1,009.14x = 1,511.91 × 765.78
  4. Step 4: Simplify right side
    1,009.14x = 1,157,790.44
  5. Step 5: Solve for x
    x = 1,157,790.44/1,009.14
  6. Step 6: Final answer
    x = 1,147.30

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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.