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Finding the Fourth Proportional to 812.11, 1,120.62 and 497.45

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Solution

The fourth proportional to 812.11, 1,120.62 and 497.45 is: 686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.11 : 1,120.62 = 497.45 : x
  2. Step 2: Convert to fraction form
    812.11/1,120.62 = 497.45/x
  3. Step 3: Cross multiply
    812.11x = 1,120.62 × 497.45
  4. Step 4: Simplify right side
    812.11x = 557,452.42
  5. Step 5: Solve for x
    x = 557,452.42/812.11
  6. Step 6: Final answer
    x = 686.42

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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.