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Finding the Fourth Proportional to 781.91, 1,172.88 and 234.11

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Solution

The fourth proportional to 781.91, 1,172.88 and 234.11 is: 351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.91 : 1,172.88 = 234.11 : x
  2. Step 2: Convert to fraction form
    781.91/1,172.88 = 234.11/x
  3. Step 3: Cross multiply
    781.91x = 1,172.88 × 234.11
  4. Step 4: Simplify right side
    781.91x = 274,581.77
  5. Step 5: Solve for x
    x = 274,581.77/781.91
  6. Step 6: Final answer
    x = 351.17

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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.