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Finding the Fourth Proportional to 617.41, 851.89 and 404.77

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Solution

The fourth proportional to 617.41, 851.89 and 404.77 is: 558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.41 : 851.89 = 404.77 : x
  2. Step 2: Convert to fraction form
    617.41/851.89 = 404.77/x
  3. Step 3: Cross multiply
    617.41x = 851.89 × 404.77
  4. Step 4: Simplify right side
    617.41x = 344,819.52
  5. Step 5: Solve for x
    x = 344,819.52/617.41
  6. Step 6: Final answer
    x = 558.49

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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.