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Finding the Fourth Proportional to 1,191.42, 1,785.09 and 727.77

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Solution

The fourth proportional to 1,191.42, 1,785.09 and 727.77 is: 1,090.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.42 : 1,785.09 = 727.77 : x
  2. Step 2: Convert to fraction form
    1,191.42/1,785.09 = 727.77/x
  3. Step 3: Cross multiply
    1,191.42x = 1,785.09 × 727.77
  4. Step 4: Simplify right side
    1,191.42x = 1,299,134.95
  5. Step 5: Solve for x
    x = 1,299,134.95/1,191.42
  6. Step 6: Final answer
    x = 1,090.41

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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.