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Finding the Fourth Proportional to 671.72, 925.62 and 464.36

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Solution

The fourth proportional to 671.72, 925.62 and 464.36 is: 639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.72 : 925.62 = 464.36 : x
  2. Step 2: Convert to fraction form
    671.72/925.62 = 464.36/x
  3. Step 3: Cross multiply
    671.72x = 925.62 × 464.36
  4. Step 4: Simplify right side
    671.72x = 429,820.90
  5. Step 5: Solve for x
    x = 429,820.90/671.72
  6. Step 6: Final answer
    x = 639.88

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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.