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Finding the Fourth Proportional to 1,074.82, 1,613.58 and 729.68

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Solution

The fourth proportional to 1,074.82, 1,613.58 and 729.68 is: 1,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.82 : 1,613.58 = 729.68 : x
  2. Step 2: Convert to fraction form
    1,074.82/1,613.58 = 729.68/x
  3. Step 3: Cross multiply
    1,074.82x = 1,613.58 × 729.68
  4. Step 4: Simplify right side
    1,074.82x = 1,177,397.05
  5. Step 5: Solve for x
    x = 1,177,397.05/1,074.82
  6. Step 6: Final answer
    x = 1,095.44

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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.