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Finding the Fourth Proportional to 649.63, 896.43 and 428.14

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Solution

The fourth proportional to 649.63, 896.43 and 428.14 is: 590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.63 : 896.43 = 428.14 : x
  2. Step 2: Convert to fraction form
    649.63/896.43 = 428.14/x
  3. Step 3: Cross multiply
    649.63x = 896.43 × 428.14
  4. Step 4: Simplify right side
    649.63x = 383,797.54
  5. Step 5: Solve for x
    x = 383,797.54/649.63
  6. Step 6: Final answer
    x = 590.79

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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.