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Finding the Fourth Proportional to 1,538.76, 2,309.08 and 808.86

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Solution

The fourth proportional to 1,538.76, 2,309.08 and 808.86 is: 1,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.76 : 2,309.08 = 808.86 : x
  2. Step 2: Convert to fraction form
    1,538.76/2,309.08 = 808.86/x
  3. Step 3: Cross multiply
    1,538.76x = 2,309.08 × 808.86
  4. Step 4: Simplify right side
    1,538.76x = 1,867,722.45
  5. Step 5: Solve for x
    x = 1,867,722.45/1,538.76
  6. Step 6: Final answer
    x = 1,213.78

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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.