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Finding the Fourth Proportional to 736.53, 1,105.09 and 325.38

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Solution

The fourth proportional to 736.53, 1,105.09 and 325.38 is: 488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.53 : 1,105.09 = 325.38 : x
  2. Step 2: Convert to fraction form
    736.53/1,105.09 = 325.38/x
  3. Step 3: Cross multiply
    736.53x = 1,105.09 × 325.38
  4. Step 4: Simplify right side
    736.53x = 359,574.18
  5. Step 5: Solve for x
    x = 359,574.18/736.53
  6. Step 6: Final answer
    x = 488.20

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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.