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Finding the Fourth Proportional to 491.72, 679.24 and 381.32

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Solution

The fourth proportional to 491.72, 679.24 and 381.32 is: 526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.72 : 679.24 = 381.32 : x
  2. Step 2: Convert to fraction form
    491.72/679.24 = 381.32/x
  3. Step 3: Cross multiply
    491.72x = 679.24 × 381.32
  4. Step 4: Simplify right side
    491.72x = 259,007.80
  5. Step 5: Solve for x
    x = 259,007.80/491.72
  6. Step 6: Final answer
    x = 526.74

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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.