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Finding the Fourth Proportional to 466.82, 697.10 and 439.82

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Solution

The fourth proportional to 466.82, 697.10 and 439.82 is: 656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.82 : 697.10 = 439.82 : x
  2. Step 2: Convert to fraction form
    466.82/697.10 = 439.82/x
  3. Step 3: Cross multiply
    466.82x = 697.10 × 439.82
  4. Step 4: Simplify right side
    466.82x = 306,596.14
  5. Step 5: Solve for x
    x = 306,596.14/466.82
  6. Step 6: Final answer
    x = 656.78

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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.