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Finding the Fourth Proportional to 736.42, 1,104.62 and 297.86

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Solution

The fourth proportional to 736.42, 1,104.62 and 297.86 is: 446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.42 : 1,104.62 = 297.86 : x
  2. Step 2: Convert to fraction form
    736.42/1,104.62 = 297.86/x
  3. Step 3: Cross multiply
    736.42x = 1,104.62 × 297.86
  4. Step 4: Simplify right side
    736.42x = 329,022.11
  5. Step 5: Solve for x
    x = 329,022.11/736.42
  6. Step 6: Final answer
    x = 446.79

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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.