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Finding the Fourth Proportional to 2,269.71, 3,403.49 and 808.47

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Solution

The fourth proportional to 2,269.71, 3,403.49 and 808.47 is: 1,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.71 : 3,403.49 = 808.47 : x
  2. Step 2: Convert to fraction form
    2,269.71/3,403.49 = 808.47/x
  3. Step 3: Cross multiply
    2,269.71x = 3,403.49 × 808.47
  4. Step 4: Simplify right side
    2,269.71x = 2,751,615.52
  5. Step 5: Solve for x
    x = 2,751,615.52/2,269.71
  6. Step 6: Final answer
    x = 1,212.32

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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.