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Finding the Fourth Proportional to 871.05, 1,304.40 and 504.66

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Solution

The fourth proportional to 871.05, 1,304.40 and 504.66 is: 755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.05 : 1,304.40 = 504.66 : x
  2. Step 2: Convert to fraction form
    871.05/1,304.40 = 504.66/x
  3. Step 3: Cross multiply
    871.05x = 1,304.40 × 504.66
  4. Step 4: Simplify right side
    871.05x = 658,278.50
  5. Step 5: Solve for x
    x = 658,278.50/871.05
  6. Step 6: Final answer
    x = 755.73

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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.