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Finding the Fourth Proportional to 1,379.14, 1,903.20 and 758.14

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Solution

The fourth proportional to 1,379.14, 1,903.20 and 758.14 is: 1,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.14 : 1,903.20 = 758.14 : x
  2. Step 2: Convert to fraction form
    1,379.14/1,903.20 = 758.14/x
  3. Step 3: Cross multiply
    1,379.14x = 1,903.20 × 758.14
  4. Step 4: Simplify right side
    1,379.14x = 1,442,892.05
  5. Step 5: Solve for x
    x = 1,442,892.05/1,379.14
  6. Step 6: Final answer
    x = 1,046.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.