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Finding the Fourth Proportional to 736.04, 1,104.10 and 428.24

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Solution

The fourth proportional to 736.04, 1,104.10 and 428.24 is: 642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.04 : 1,104.10 = 428.24 : x
  2. Step 2: Convert to fraction form
    736.04/1,104.10 = 428.24/x
  3. Step 3: Cross multiply
    736.04x = 1,104.10 × 428.24
  4. Step 4: Simplify right side
    736.04x = 472,819.78
  5. Step 5: Solve for x
    x = 472,819.78/736.04
  6. Step 6: Final answer
    x = 642.38

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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.