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Finding the Fourth Proportional to 1,742.83, 2,613.11 and 805.39

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Solution

The fourth proportional to 1,742.83, 2,613.11 and 805.39 is: 1,207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.83 : 2,613.11 = 805.39 : x
  2. Step 2: Convert to fraction form
    1,742.83/2,613.11 = 805.39/x
  3. Step 3: Cross multiply
    1,742.83x = 2,613.11 × 805.39
  4. Step 4: Simplify right side
    1,742.83x = 2,104,581.33
  5. Step 5: Solve for x
    x = 2,104,581.33/1,742.83
  6. Step 6: Final answer
    x = 1,207.56

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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.