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Finding the Fourth Proportional to 649.82, 896.73 and 355.09

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Solution

The fourth proportional to 649.82, 896.73 and 355.09 is: 490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.82 : 896.73 = 355.09 : x
  2. Step 2: Convert to fraction form
    649.82/896.73 = 355.09/x
  3. Step 3: Cross multiply
    649.82x = 896.73 × 355.09
  4. Step 4: Simplify right side
    649.82x = 318,419.65
  5. Step 5: Solve for x
    x = 318,419.65/649.82
  6. Step 6: Final answer
    x = 490.01

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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.