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Finding the Fourth Proportional to 617.45, 851.90 and 365.31

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Solution

The fourth proportional to 617.45, 851.90 and 365.31 is: 504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.45 : 851.90 = 365.31 : x
  2. Step 2: Convert to fraction form
    617.45/851.90 = 365.31/x
  3. Step 3: Cross multiply
    617.45x = 851.90 × 365.31
  4. Step 4: Simplify right side
    617.45x = 311,205.76
  5. Step 5: Solve for x
    x = 311,205.76/617.45
  6. Step 6: Final answer
    x = 504.02

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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.