Home / 1,147.70-1,729.37-946.78

Finding the Fourth Proportional to 1,147.70, 1,729.37 and 946.78

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Solution

The fourth proportional to 1,147.70, 1,729.37 and 946.78 is: 1,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.70 : 1,729.37 = 946.78 : x
  2. Step 2: Convert to fraction form
    1,147.70/1,729.37 = 946.78/x
  3. Step 3: Cross multiply
    1,147.70x = 1,729.37 × 946.78
  4. Step 4: Simplify right side
    1,147.70x = 1,637,330.97
  5. Step 5: Solve for x
    x = 1,637,330.97/1,147.70
  6. Step 6: Final answer
    x = 1,426.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.