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Finding the Fourth Proportional to 736.01, 1,103.91 and 407.56

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Solution

The fourth proportional to 736.01, 1,103.91 and 407.56 is: 611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.01 : 1,103.91 = 407.56 : x
  2. Step 2: Convert to fraction form
    736.01/1,103.91 = 407.56/x
  3. Step 3: Cross multiply
    736.01x = 1,103.91 × 407.56
  4. Step 4: Simplify right side
    736.01x = 449,906.80
  5. Step 5: Solve for x
    x = 449,906.80/736.01
  6. Step 6: Final answer
    x = 611.28

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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.