Home / 1,209.56-1,669.93-768.22

Finding the Fourth Proportional to 1,209.56, 1,669.93 and 768.22

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Solution

The fourth proportional to 1,209.56, 1,669.93 and 768.22 is: 1,060.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.56 : 1,669.93 = 768.22 : x
  2. Step 2: Convert to fraction form
    1,209.56/1,669.93 = 768.22/x
  3. Step 3: Cross multiply
    1,209.56x = 1,669.93 × 768.22
  4. Step 4: Simplify right side
    1,209.56x = 1,282,867.53
  5. Step 5: Solve for x
    x = 1,282,867.53/1,209.56
  6. Step 6: Final answer
    x = 1,060.61

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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.