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Finding the Fourth Proportional to 729.59, 1,093.77 and 290.57

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Solution

The fourth proportional to 729.59, 1,093.77 and 290.57 is: 435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.59 : 1,093.77 = 290.57 : x
  2. Step 2: Convert to fraction form
    729.59/1,093.77 = 290.57/x
  3. Step 3: Cross multiply
    729.59x = 1,093.77 × 290.57
  4. Step 4: Simplify right side
    729.59x = 317,811.28
  5. Step 5: Solve for x
    x = 317,811.28/729.59
  6. Step 6: Final answer
    x = 435.60

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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.