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Finding the Fourth Proportional to 1,808, 2,708.38 and 832.76

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Solution

The fourth proportional to 1,808, 2,708.38 and 832.76 is: 1,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808 : 2,708.38 = 832.76 : x
  2. Step 2: Convert to fraction form
    1,808/2,708.38 = 832.76/x
  3. Step 3: Cross multiply
    1,808x = 2,708.38 × 832.76
  4. Step 4: Simplify right side
    1,808x = 2,255,430.53
  5. Step 5: Solve for x
    x = 2,255,430.53/1,808
  6. Step 6: Final answer
    x = 1,247.47

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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.