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Finding the Fourth Proportional to 466.75, 643.84 and 390.85

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Solution

The fourth proportional to 466.75, 643.84 and 390.85 is: 539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.75 : 643.84 = 390.85 : x
  2. Step 2: Convert to fraction form
    466.75/643.84 = 390.85/x
  3. Step 3: Cross multiply
    466.75x = 643.84 × 390.85
  4. Step 4: Simplify right side
    466.75x = 251,644.86
  5. Step 5: Solve for x
    x = 251,644.86/466.75
  6. Step 6: Final answer
    x = 539.14

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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.