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Finding the Fourth Proportional to 531.26, 730.04 and 443.78

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Solution

The fourth proportional to 531.26, 730.04 and 443.78 is: 609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.26 : 730.04 = 443.78 : x
  2. Step 2: Convert to fraction form
    531.26/730.04 = 443.78/x
  3. Step 3: Cross multiply
    531.26x = 730.04 × 443.78
  4. Step 4: Simplify right side
    531.26x = 323,977.15
  5. Step 5: Solve for x
    x = 323,977.15/531.26
  6. Step 6: Final answer
    x = 609.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.