Home / 1,205.28-1,662.78-943.92

Finding the Fourth Proportional to 1,205.28, 1,662.78 and 943.92

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Solution

The fourth proportional to 1,205.28, 1,662.78 and 943.92 is: 1,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.28 : 1,662.78 = 943.92 : x
  2. Step 2: Convert to fraction form
    1,205.28/1,662.78 = 943.92/x
  3. Step 3: Cross multiply
    1,205.28x = 1,662.78 × 943.92
  4. Step 4: Simplify right side
    1,205.28x = 1,569,531.30
  5. Step 5: Solve for x
    x = 1,569,531.30/1,205.28
  6. Step 6: Final answer
    x = 1,302.21

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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.