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Finding the Fourth Proportional to 2,268.48, 3,404.19 and 807.65

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Solution

The fourth proportional to 2,268.48, 3,404.19 and 807.65 is: 1,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.48 : 3,404.19 = 807.65 : x
  2. Step 2: Convert to fraction form
    2,268.48/3,404.19 = 807.65/x
  3. Step 3: Cross multiply
    2,268.48x = 3,404.19 × 807.65
  4. Step 4: Simplify right side
    2,268.48x = 2,749,394.05
  5. Step 5: Solve for x
    x = 2,749,394.05/2,268.48
  6. Step 6: Final answer
    x = 1,212.00

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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.