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Finding the Fourth Proportional to 1,694.55, 2,539.08 and 871.68

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Solution

The fourth proportional to 1,694.55, 2,539.08 and 871.68 is: 1,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.55 : 2,539.08 = 871.68 : x
  2. Step 2: Convert to fraction form
    1,694.55/2,539.08 = 871.68/x
  3. Step 3: Cross multiply
    1,694.55x = 2,539.08 × 871.68
  4. Step 4: Simplify right side
    1,694.55x = 2,213,265.25
  5. Step 5: Solve for x
    x = 2,213,265.25/1,694.55
  6. Step 6: Final answer
    x = 1,306.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.