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Finding the Fourth Proportional to 1,905.32, 2,857.76 and 808.86

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Solution

The fourth proportional to 1,905.32, 2,857.76 and 808.86 is: 1,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.32 : 2,857.76 = 808.86 : x
  2. Step 2: Convert to fraction form
    1,905.32/2,857.76 = 808.86/x
  3. Step 3: Cross multiply
    1,905.32x = 2,857.76 × 808.86
  4. Step 4: Simplify right side
    1,905.32x = 2,311,527.75
  5. Step 5: Solve for x
    x = 2,311,527.75/1,905.32
  6. Step 6: Final answer
    x = 1,213.20

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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.