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Finding the Fourth Proportional to 1,378.99, 1,900.78 and 1,079.70

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Solution

The fourth proportional to 1,378.99, 1,900.78 and 1,079.70 is: 1,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.99 : 1,900.78 = 1,079.70 : x
  2. Step 2: Convert to fraction form
    1,378.99/1,900.78 = 1,079.70/x
  3. Step 3: Cross multiply
    1,378.99x = 1,900.78 × 1,079.70
  4. Step 4: Simplify right side
    1,378.99x = 2,052,272.17
  5. Step 5: Solve for x
    x = 2,052,272.17/1,378.99
  6. Step 6: Final answer
    x = 1,488.24

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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.