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Finding the Fourth Proportional to 460.31, 687.09 and 395.73

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Solution

The fourth proportional to 460.31, 687.09 and 395.73 is: 590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.31 : 687.09 = 395.73 : x
  2. Step 2: Convert to fraction form
    460.31/687.09 = 395.73/x
  3. Step 3: Cross multiply
    460.31x = 687.09 × 395.73
  4. Step 4: Simplify right side
    460.31x = 271,902.13
  5. Step 5: Solve for x
    x = 271,902.13/460.31
  6. Step 6: Final answer
    x = 590.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.