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Finding the Fourth Proportional to 649.34, 896.42 and 440.62

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Solution

The fourth proportional to 649.34, 896.42 and 440.62 is: 608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.34 : 896.42 = 440.62 : x
  2. Step 2: Convert to fraction form
    649.34/896.42 = 440.62/x
  3. Step 3: Cross multiply
    649.34x = 896.42 × 440.62
  4. Step 4: Simplify right side
    649.34x = 394,980.58
  5. Step 5: Solve for x
    x = 394,980.58/649.34
  6. Step 6: Final answer
    x = 608.28

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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.