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Finding the Fourth Proportional to 781.49, 1,172.22 and 233.66

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Solution

The fourth proportional to 781.49, 1,172.22 and 233.66 is: 350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.49 : 1,172.22 = 233.66 : x
  2. Step 2: Convert to fraction form
    781.49/1,172.22 = 233.66/x
  3. Step 3: Cross multiply
    781.49x = 1,172.22 × 233.66
  4. Step 4: Simplify right side
    781.49x = 273,895.06
  5. Step 5: Solve for x
    x = 273,895.06/781.49
  6. Step 6: Final answer
    x = 350.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.