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Finding the Fourth Proportional to 1,119.87, 1,679.99 and 389.66

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Solution

The fourth proportional to 1,119.87, 1,679.99 and 389.66 is: 584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.87 : 1,679.99 = 389.66 : x
  2. Step 2: Convert to fraction form
    1,119.87/1,679.99 = 389.66/x
  3. Step 3: Cross multiply
    1,119.87x = 1,679.99 × 389.66
  4. Step 4: Simplify right side
    1,119.87x = 654,614.56
  5. Step 5: Solve for x
    x = 654,614.56/1,119.87
  6. Step 6: Final answer
    x = 584.55

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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.