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Finding the Fourth Proportional to 466.63, 642.53 and 422.69

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Solution

The fourth proportional to 466.63, 642.53 and 422.69 is: 582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.63 : 642.53 = 422.69 : x
  2. Step 2: Convert to fraction form
    466.63/642.53 = 422.69/x
  3. Step 3: Cross multiply
    466.63x = 642.53 × 422.69
  4. Step 4: Simplify right side
    466.63x = 271,588.85
  5. Step 5: Solve for x
    x = 271,588.85/466.63
  6. Step 6: Final answer
    x = 582.02

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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.