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Finding the Fourth Proportional to 872.12, 1,307.04 and 762.17

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Solution

The fourth proportional to 872.12, 1,307.04 and 762.17 is: 1,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.12 : 1,307.04 = 762.17 : x
  2. Step 2: Convert to fraction form
    872.12/1,307.04 = 762.17/x
  3. Step 3: Cross multiply
    872.12x = 1,307.04 × 762.17
  4. Step 4: Simplify right side
    872.12x = 996,180.14
  5. Step 5: Solve for x
    x = 996,180.14/872.12
  6. Step 6: Final answer
    x = 1,142.26

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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.