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Finding the Fourth Proportional to 1,377.14, 2,065.83 and 389.96

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Solution

The fourth proportional to 1,377.14, 2,065.83 and 389.96 is: 584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.14 : 2,065.83 = 389.96 : x
  2. Step 2: Convert to fraction form
    1,377.14/2,065.83 = 389.96/x
  3. Step 3: Cross multiply
    1,377.14x = 2,065.83 × 389.96
  4. Step 4: Simplify right side
    1,377.14x = 805,591.07
  5. Step 5: Solve for x
    x = 805,591.07/1,377.14
  6. Step 6: Final answer
    x = 584.97

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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.