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Finding the Fourth Proportional to 1,412.91, 2,119.37 and 764.91

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Solution

The fourth proportional to 1,412.91, 2,119.37 and 764.91 is: 1,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.91 : 2,119.37 = 764.91 : x
  2. Step 2: Convert to fraction form
    1,412.91/2,119.37 = 764.91/x
  3. Step 3: Cross multiply
    1,412.91x = 2,119.37 × 764.91
  4. Step 4: Simplify right side
    1,412.91x = 1,621,123.48
  5. Step 5: Solve for x
    x = 1,621,123.48/1,412.91
  6. Step 6: Final answer
    x = 1,147.37

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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.