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Finding the Fourth Proportional to 812.16, 1,119.46 and 742.46

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Solution

The fourth proportional to 812.16, 1,119.46 and 742.46 is: 1,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.16 : 1,119.46 = 742.46 : x
  2. Step 2: Convert to fraction form
    812.16/1,119.46 = 742.46/x
  3. Step 3: Cross multiply
    812.16x = 1,119.46 × 742.46
  4. Step 4: Simplify right side
    812.16x = 831,154.27
  5. Step 5: Solve for x
    x = 831,154.27/812.16
  6. Step 6: Final answer
    x = 1,023.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.