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Finding the Fourth Proportional to 782.07, 1,172.75 and 234.15

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Solution

The fourth proportional to 782.07, 1,172.75 and 234.15 is: 351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.07 : 1,172.75 = 234.15 : x
  2. Step 2: Convert to fraction form
    782.07/1,172.75 = 234.15/x
  3. Step 3: Cross multiply
    782.07x = 1,172.75 × 234.15
  4. Step 4: Simplify right side
    782.07x = 274,593.55
  5. Step 5: Solve for x
    x = 274,593.55/782.07
  6. Step 6: Final answer
    x = 351.11

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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.