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Finding the Fourth Proportional to 736.52, 1,102.20 and 504.32

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Solution

The fourth proportional to 736.52, 1,102.20 and 504.32 is: 754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.52 : 1,102.20 = 504.32 : x
  2. Step 2: Convert to fraction form
    736.52/1,102.20 = 504.32/x
  3. Step 3: Cross multiply
    736.52x = 1,102.20 × 504.32
  4. Step 4: Simplify right side
    736.52x = 555,861.50
  5. Step 5: Solve for x
    x = 555,861.50/736.52
  6. Step 6: Final answer
    x = 754.71

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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.