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Finding the Fourth Proportional to 537.08, 736.21 and 529.52

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Solution

The fourth proportional to 537.08, 736.21 and 529.52 is: 725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.08 : 736.21 = 529.52 : x
  2. Step 2: Convert to fraction form
    537.08/736.21 = 529.52/x
  3. Step 3: Cross multiply
    537.08x = 736.21 × 529.52
  4. Step 4: Simplify right side
    537.08x = 389,837.92
  5. Step 5: Solve for x
    x = 389,837.92/537.08
  6. Step 6: Final answer
    x = 725.85

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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.