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Finding the Fourth Proportional to 1,776.67, 2,665.14 and 911.59

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Solution

The fourth proportional to 1,776.67, 2,665.14 and 911.59 is: 1,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.67 : 2,665.14 = 911.59 : x
  2. Step 2: Convert to fraction form
    1,776.67/2,665.14 = 911.59/x
  3. Step 3: Cross multiply
    1,776.67x = 2,665.14 × 911.59
  4. Step 4: Simplify right side
    1,776.67x = 2,429,514.97
  5. Step 5: Solve for x
    x = 2,429,514.97/1,776.67
  6. Step 6: Final answer
    x = 1,367.45

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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.