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Finding the Fourth Proportional to 1,378.44, 1,901.40 and 984.78

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Solution

The fourth proportional to 1,378.44, 1,901.40 and 984.78 is: 1,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.44 : 1,901.40 = 984.78 : x
  2. Step 2: Convert to fraction form
    1,378.44/1,901.40 = 984.78/x
  3. Step 3: Cross multiply
    1,378.44x = 1,901.40 × 984.78
  4. Step 4: Simplify right side
    1,378.44x = 1,872,460.69
  5. Step 5: Solve for x
    x = 1,872,460.69/1,378.44
  6. Step 6: Final answer
    x = 1,358.39

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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.