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Finding the Fourth Proportional to 639.58, 960.33 and 380.02

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Solution

The fourth proportional to 639.58, 960.33 and 380.02 is: 570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.58 : 960.33 = 380.02 : x
  2. Step 2: Convert to fraction form
    639.58/960.33 = 380.02/x
  3. Step 3: Cross multiply
    639.58x = 960.33 × 380.02
  4. Step 4: Simplify right side
    639.58x = 364,944.61
  5. Step 5: Solve for x
    x = 364,944.61/639.58
  6. Step 6: Final answer
    x = 570.60

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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.