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Finding the Fourth Proportional to 1,177.37, 1,766.91 and 806.39

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Solution

The fourth proportional to 1,177.37, 1,766.91 and 806.39 is: 1,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.37 : 1,766.91 = 806.39 : x
  2. Step 2: Convert to fraction form
    1,177.37/1,766.91 = 806.39/x
  3. Step 3: Cross multiply
    1,177.37x = 1,766.91 × 806.39
  4. Step 4: Simplify right side
    1,177.37x = 1,424,809.72
  5. Step 5: Solve for x
    x = 1,424,809.72/1,177.37
  6. Step 6: Final answer
    x = 1,210.17

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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.