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Finding the Fourth Proportional to 649.89, 896.85 and 355.14

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Solution

The fourth proportional to 649.89, 896.85 and 355.14 is: 490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.89 : 896.85 = 355.14 : x
  2. Step 2: Convert to fraction form
    649.89/896.85 = 355.14/x
  3. Step 3: Cross multiply
    649.89x = 896.85 × 355.14
  4. Step 4: Simplify right side
    649.89x = 318,507.31
  5. Step 5: Solve for x
    x = 318,507.31/649.89
  6. Step 6: Final answer
    x = 490.09

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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.