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Finding the Fourth Proportional to 1,108.66, 1,661.54 and 801.54

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Solution

The fourth proportional to 1,108.66, 1,661.54 and 801.54 is: 1,201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.66 : 1,661.54 = 801.54 : x
  2. Step 2: Convert to fraction form
    1,108.66/1,661.54 = 801.54/x
  3. Step 3: Cross multiply
    1,108.66x = 1,661.54 × 801.54
  4. Step 4: Simplify right side
    1,108.66x = 1,331,790.77
  5. Step 5: Solve for x
    x = 1,331,790.77/1,108.66
  6. Step 6: Final answer
    x = 1,201.26

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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.