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Finding the Fourth Proportional to 812.76, 1,219.17 and 264.90

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Solution

The fourth proportional to 812.76, 1,219.17 and 264.90 is: 397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.76 : 1,219.17 = 264.90 : x
  2. Step 2: Convert to fraction form
    812.76/1,219.17 = 264.90/x
  3. Step 3: Cross multiply
    812.76x = 1,219.17 × 264.90
  4. Step 4: Simplify right side
    812.76x = 322,958.13
  5. Step 5: Solve for x
    x = 322,958.13/812.76
  6. Step 6: Final answer
    x = 397.36

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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.