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Finding the Fourth Proportional to 2,408.69, 3,613.04 and 869.69

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Solution

The fourth proportional to 2,408.69, 3,613.04 and 869.69 is: 1,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.69 : 3,613.04 = 869.69 : x
  2. Step 2: Convert to fraction form
    2,408.69/3,613.04 = 869.69/x
  3. Step 3: Cross multiply
    2,408.69x = 3,613.04 × 869.69
  4. Step 4: Simplify right side
    2,408.69x = 3,142,224.76
  5. Step 5: Solve for x
    x = 3,142,224.76/2,408.69
  6. Step 6: Final answer
    x = 1,304.54

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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.