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Finding the Fourth Proportional to 639.53, 958.74 and 292.74

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Solution

The fourth proportional to 639.53, 958.74 and 292.74 is: 438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.53 : 958.74 = 292.74 : x
  2. Step 2: Convert to fraction form
    639.53/958.74 = 292.74/x
  3. Step 3: Cross multiply
    639.53x = 958.74 × 292.74
  4. Step 4: Simplify right side
    639.53x = 280,661.55
  5. Step 5: Solve for x
    x = 280,661.55/639.53
  6. Step 6: Final answer
    x = 438.86

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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.