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Finding the Fourth Proportional to 639.32, 959.52 and 477.32

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Solution

The fourth proportional to 639.32, 959.52 and 477.32 is: 716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.32 : 959.52 = 477.32 : x
  2. Step 2: Convert to fraction form
    639.32/959.52 = 477.32/x
  3. Step 3: Cross multiply
    639.32x = 959.52 × 477.32
  4. Step 4: Simplify right side
    639.32x = 457,998.09
  5. Step 5: Solve for x
    x = 457,998.09/639.32
  6. Step 6: Final answer
    x = 716.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.