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Finding the Fourth Proportional to 1,074.74, 1,613.49 and 729.61

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Solution

The fourth proportional to 1,074.74, 1,613.49 and 729.61 is: 1,095.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.74 : 1,613.49 = 729.61 : x
  2. Step 2: Convert to fraction form
    1,074.74/1,613.49 = 729.61/x
  3. Step 3: Cross multiply
    1,074.74x = 1,613.49 × 729.61
  4. Step 4: Simplify right side
    1,074.74x = 1,177,211.67
  5. Step 5: Solve for x
    x = 1,177,211.67/1,074.74
  6. Step 6: Final answer
    x = 1,095.35

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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.