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Finding the Fourth Proportional to 649.84, 896.78 and 355.13

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Solution

The fourth proportional to 649.84, 896.78 and 355.13 is: 490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.84 : 896.78 = 355.13 : x
  2. Step 2: Convert to fraction form
    649.84/896.78 = 355.13/x
  3. Step 3: Cross multiply
    649.84x = 896.78 × 355.13
  4. Step 4: Simplify right side
    649.84x = 318,473.48
  5. Step 5: Solve for x
    x = 318,473.48/649.84
  6. Step 6: Final answer
    x = 490.08

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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.