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Finding the Fourth Proportional to 871.21, 1,201.62 and 609.13

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Solution

The fourth proportional to 871.21, 1,201.62 and 609.13 is: 840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.21 : 1,201.62 = 609.13 : x
  2. Step 2: Convert to fraction form
    871.21/1,201.62 = 609.13/x
  3. Step 3: Cross multiply
    871.21x = 1,201.62 × 609.13
  4. Step 4: Simplify right side
    871.21x = 731,942.79
  5. Step 5: Solve for x
    x = 731,942.79/871.21
  6. Step 6: Final answer
    x = 840.15

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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.