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Finding the Fourth Proportional to 1,180.83, 1,768.93 and 905.57

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Solution

The fourth proportional to 1,180.83, 1,768.93 and 905.57 is: 1,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.83 : 1,768.93 = 905.57 : x
  2. Step 2: Convert to fraction form
    1,180.83/1,768.93 = 905.57/x
  3. Step 3: Cross multiply
    1,180.83x = 1,768.93 × 905.57
  4. Step 4: Simplify right side
    1,180.83x = 1,601,894.36
  5. Step 5: Solve for x
    x = 1,601,894.36/1,180.83
  6. Step 6: Final answer
    x = 1,356.59

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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.