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Finding the Fourth Proportional to 649.46, 896.25 and 369.75

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Solution

The fourth proportional to 649.46, 896.25 and 369.75 is: 510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.46 : 896.25 = 369.75 : x
  2. Step 2: Convert to fraction form
    649.46/896.25 = 369.75/x
  3. Step 3: Cross multiply
    649.46x = 896.25 × 369.75
  4. Step 4: Simplify right side
    649.46x = 331,388.44
  5. Step 5: Solve for x
    x = 331,388.44/649.46
  6. Step 6: Final answer
    x = 510.26

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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.