Home / 1,209.09-1,668.25-766.83

Finding the Fourth Proportional to 1,209.09, 1,668.25 and 766.83

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Solution

The fourth proportional to 1,209.09, 1,668.25 and 766.83 is: 1,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.09 : 1,668.25 = 766.83 : x
  2. Step 2: Convert to fraction form
    1,209.09/1,668.25 = 766.83/x
  3. Step 3: Cross multiply
    1,209.09x = 1,668.25 × 766.83
  4. Step 4: Simplify right side
    1,209.09x = 1,279,264.15
  5. Step 5: Solve for x
    x = 1,279,264.15/1,209.09
  6. Step 6: Final answer
    x = 1,058.04

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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.