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Finding the Fourth Proportional to 617.23, 851.78 and 337.47

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Solution

The fourth proportional to 617.23, 851.78 and 337.47 is: 465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.23 : 851.78 = 337.47 : x
  2. Step 2: Convert to fraction form
    617.23/851.78 = 337.47/x
  3. Step 3: Cross multiply
    617.23x = 851.78 × 337.47
  4. Step 4: Simplify right side
    617.23x = 287,454.23
  5. Step 5: Solve for x
    x = 287,454.23/617.23
  6. Step 6: Final answer
    x = 465.72

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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.