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Finding the Fourth Proportional to 1,438.62, 1,985.31 and 871.44

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Solution

The fourth proportional to 1,438.62, 1,985.31 and 871.44 is: 1,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.62 : 1,985.31 = 871.44 : x
  2. Step 2: Convert to fraction form
    1,438.62/1,985.31 = 871.44/x
  3. Step 3: Cross multiply
    1,438.62x = 1,985.31 × 871.44
  4. Step 4: Simplify right side
    1,438.62x = 1,730,078.55
  5. Step 5: Solve for x
    x = 1,730,078.55/1,438.62
  6. Step 6: Final answer
    x = 1,202.60

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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.