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Finding the Fourth Proportional to 790.37, 1,091.22 and 541.61

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Solution

The fourth proportional to 790.37, 1,091.22 and 541.61 is: 747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.37 : 1,091.22 = 541.61 : x
  2. Step 2: Convert to fraction form
    790.37/1,091.22 = 541.61/x
  3. Step 3: Cross multiply
    790.37x = 1,091.22 × 541.61
  4. Step 4: Simplify right side
    790.37x = 591,015.66
  5. Step 5: Solve for x
    x = 591,015.66/790.37
  6. Step 6: Final answer
    x = 747.77

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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.