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Finding the Fourth Proportional to 617.43, 851.81 and 407.72

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Solution

The fourth proportional to 617.43, 851.81 and 407.72 is: 562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.43 : 851.81 = 407.72 : x
  2. Step 2: Convert to fraction form
    617.43/851.81 = 407.72/x
  3. Step 3: Cross multiply
    617.43x = 851.81 × 407.72
  4. Step 4: Simplify right side
    617.43x = 347,299.97
  5. Step 5: Solve for x
    x = 347,299.97/617.43
  6. Step 6: Final answer
    x = 562.49

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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.