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Finding the Fourth Proportional to 945.95, 1,305.56 and 871.83

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Solution

The fourth proportional to 945.95, 1,305.56 and 871.83 is: 1,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.95 : 1,305.56 = 871.83 : x
  2. Step 2: Convert to fraction form
    945.95/1,305.56 = 871.83/x
  3. Step 3: Cross multiply
    945.95x = 1,305.56 × 871.83
  4. Step 4: Simplify right side
    945.95x = 1,138,222.02
  5. Step 5: Solve for x
    x = 1,138,222.02/945.95
  6. Step 6: Final answer
    x = 1,203.26

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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.