Home / 1,209.36-1,668.96-946.92

Finding the Fourth Proportional to 1,209.36, 1,668.96 and 946.92

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Solution

The fourth proportional to 1,209.36, 1,668.96 and 946.92 is: 1,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.36 : 1,668.96 = 946.92 : x
  2. Step 2: Convert to fraction form
    1,209.36/1,668.96 = 946.92/x
  3. Step 3: Cross multiply
    1,209.36x = 1,668.96 × 946.92
  4. Step 4: Simplify right side
    1,209.36x = 1,580,371.60
  5. Step 5: Solve for x
    x = 1,580,371.60/1,209.36
  6. Step 6: Final answer
    x = 1,306.78

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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.