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Finding the Fourth Proportional to 812.49, 1,219.67 and 617.01

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Solution

The fourth proportional to 812.49, 1,219.67 and 617.01 is: 926.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.49 : 1,219.67 = 617.01 : x
  2. Step 2: Convert to fraction form
    812.49/1,219.67 = 617.01/x
  3. Step 3: Cross multiply
    812.49x = 1,219.67 × 617.01
  4. Step 4: Simplify right side
    812.49x = 752,545.50
  5. Step 5: Solve for x
    x = 752,545.50/812.49
  6. Step 6: Final answer
    x = 926.22

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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.