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Finding the Fourth Proportional to 1,378.78, 1,901.94 and 906.75

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Solution

The fourth proportional to 1,378.78, 1,901.94 and 906.75 is: 1,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.78 : 1,901.94 = 906.75 : x
  2. Step 2: Convert to fraction form
    1,378.78/1,901.94 = 906.75/x
  3. Step 3: Cross multiply
    1,378.78x = 1,901.94 × 906.75
  4. Step 4: Simplify right side
    1,378.78x = 1,724,584.10
  5. Step 5: Solve for x
    x = 1,724,584.10/1,378.78
  6. Step 6: Final answer
    x = 1,250.80

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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.