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Finding the Fourth Proportional to 871.40, 1,202.38 and 661.52

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Solution

The fourth proportional to 871.40, 1,202.38 and 661.52 is: 912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.40 : 1,202.38 = 661.52 : x
  2. Step 2: Convert to fraction form
    871.40/1,202.38 = 661.52/x
  3. Step 3: Cross multiply
    871.40x = 1,202.38 × 661.52
  4. Step 4: Simplify right side
    871.40x = 795,399.77
  5. Step 5: Solve for x
    x = 795,399.77/871.40
  6. Step 6: Final answer
    x = 912.78

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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.