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Finding the Fourth Proportional to 2,269.81, 3,404.40 and 808.75

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Solution

The fourth proportional to 2,269.81, 3,404.40 and 808.75 is: 1,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.81 : 3,404.40 = 808.75 : x
  2. Step 2: Convert to fraction form
    2,269.81/3,404.40 = 808.75/x
  3. Step 3: Cross multiply
    2,269.81x = 3,404.40 × 808.75
  4. Step 4: Simplify right side
    2,269.81x = 2,753,308.50
  5. Step 5: Solve for x
    x = 2,753,308.50/2,269.81
  6. Step 6: Final answer
    x = 1,213.01

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1.5x scale

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.