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Finding the Fourth Proportional to 1,227.99, 1,841.68 and 764.07

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Solution

The fourth proportional to 1,227.99, 1,841.68 and 764.07 is: 1,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.99 : 1,841.68 = 764.07 : x
  2. Step 2: Convert to fraction form
    1,227.99/1,841.68 = 764.07/x
  3. Step 3: Cross multiply
    1,227.99x = 1,841.68 × 764.07
  4. Step 4: Simplify right side
    1,227.99x = 1,407,172.44
  5. Step 5: Solve for x
    x = 1,407,172.44/1,227.99
  6. Step 6: Final answer
    x = 1,145.92

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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.