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Finding the Fourth Proportional to 680.52, 939.04 and 381.72

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Solution

The fourth proportional to 680.52, 939.04 and 381.72 is: 526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.52 : 939.04 = 381.72 : x
  2. Step 2: Convert to fraction form
    680.52/939.04 = 381.72/x
  3. Step 3: Cross multiply
    680.52x = 939.04 × 381.72
  4. Step 4: Simplify right side
    680.52x = 358,450.35
  5. Step 5: Solve for x
    x = 358,450.35/680.52
  6. Step 6: Final answer
    x = 526.73

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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.