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Finding the Fourth Proportional to 466.65, 643.97 and 319.28

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Solution

The fourth proportional to 466.65, 643.97 and 319.28 is: 440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.65 : 643.97 = 319.28 : x
  2. Step 2: Convert to fraction form
    466.65/643.97 = 319.28/x
  3. Step 3: Cross multiply
    466.65x = 643.97 × 319.28
  4. Step 4: Simplify right side
    466.65x = 205,601.93
  5. Step 5: Solve for x
    x = 205,601.93/466.65
  6. Step 6: Final answer
    x = 440.59

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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.