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Finding the Fourth Proportional to 1,014.96, 1,520.82 and 808.44

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Solution

The fourth proportional to 1,014.96, 1,520.82 and 808.44 is: 1,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.96 : 1,520.82 = 808.44 : x
  2. Step 2: Convert to fraction form
    1,014.96/1,520.82 = 808.44/x
  3. Step 3: Cross multiply
    1,014.96x = 1,520.82 × 808.44
  4. Step 4: Simplify right side
    1,014.96x = 1,229,491.72
  5. Step 5: Solve for x
    x = 1,229,491.72/1,014.96
  6. Step 6: Final answer
    x = 1,211.37

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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.