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Finding the Fourth Proportional to 438.67, 660.62 and 395.83

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Solution

The fourth proportional to 438.67, 660.62 and 395.83 is: 596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.67 : 660.62 = 395.83 : x
  2. Step 2: Convert to fraction form
    438.67/660.62 = 395.83/x
  3. Step 3: Cross multiply
    438.67x = 660.62 × 395.83
  4. Step 4: Simplify right side
    438.67x = 261,493.21
  5. Step 5: Solve for x
    x = 261,493.21/438.67
  6. Step 6: Final answer
    x = 596.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.