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Finding the Fourth Proportional to 1,205.22, 1,662.81 and 812.46

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Solution

The fourth proportional to 1,205.22, 1,662.81 and 812.46 is: 1,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.22 : 1,662.81 = 812.46 : x
  2. Step 2: Convert to fraction form
    1,205.22/1,662.81 = 812.46/x
  3. Step 3: Cross multiply
    1,205.22x = 1,662.81 × 812.46
  4. Step 4: Simplify right side
    1,205.22x = 1,350,966.61
  5. Step 5: Solve for x
    x = 1,350,966.61/1,205.22
  6. Step 6: Final answer
    x = 1,120.93

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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.