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Finding the Fourth Proportional to 649.38, 896.11 and 369.57

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Solution

The fourth proportional to 649.38, 896.11 and 369.57 is: 509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.38 : 896.11 = 369.57 : x
  2. Step 2: Convert to fraction form
    649.38/896.11 = 369.57/x
  3. Step 3: Cross multiply
    649.38x = 896.11 × 369.57
  4. Step 4: Simplify right side
    649.38x = 331,175.37
  5. Step 5: Solve for x
    x = 331,175.37/649.38
  6. Step 6: Final answer
    x = 509.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.