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Finding the Fourth Proportional to 1,206.43, 1,664.90 and 812.77

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Solution

The fourth proportional to 1,206.43, 1,664.90 and 812.77 is: 1,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.43 : 1,664.90 = 812.77 : x
  2. Step 2: Convert to fraction form
    1,206.43/1,664.90 = 812.77/x
  3. Step 3: Cross multiply
    1,206.43x = 1,664.90 × 812.77
  4. Step 4: Simplify right side
    1,206.43x = 1,353,180.77
  5. Step 5: Solve for x
    x = 1,353,180.77/1,206.43
  6. Step 6: Final answer
    x = 1,121.64

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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.