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Finding the Fourth Proportional to 466.55, 639.23 and 460.78

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Solution

The fourth proportional to 466.55, 639.23 and 460.78 is: 631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.55 : 639.23 = 460.78 : x
  2. Step 2: Convert to fraction form
    466.55/639.23 = 460.78/x
  3. Step 3: Cross multiply
    466.55x = 639.23 × 460.78
  4. Step 4: Simplify right side
    466.55x = 294,546.68
  5. Step 5: Solve for x
    x = 294,546.68/466.55
  6. Step 6: Final answer
    x = 631.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.