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Finding the Fourth Proportional to 871.56, 1,201.64 and 713.61

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Solution

The fourth proportional to 871.56, 1,201.64 and 713.61 is: 983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.56 : 1,201.64 = 713.61 : x
  2. Step 2: Convert to fraction form
    871.56/1,201.64 = 713.61/x
  3. Step 3: Cross multiply
    871.56x = 1,201.64 × 713.61
  4. Step 4: Simplify right side
    871.56x = 857,498.75
  5. Step 5: Solve for x
    x = 857,498.75/871.56
  6. Step 6: Final answer
    x = 983.87

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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.