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Finding the Fourth Proportional to 746.49, 1,119.42 and 381.07

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Solution

The fourth proportional to 746.49, 1,119.42 and 381.07 is: 571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.49 : 1,119.42 = 381.07 : x
  2. Step 2: Convert to fraction form
    746.49/1,119.42 = 381.07/x
  3. Step 3: Cross multiply
    746.49x = 1,119.42 × 381.07
  4. Step 4: Simplify right side
    746.49x = 426,577.38
  5. Step 5: Solve for x
    x = 426,577.38/746.49
  6. Step 6: Final answer
    x = 571.44

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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.