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Finding the Fourth Proportional to 497.44, 686.72 and 381.12

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Solution

The fourth proportional to 497.44, 686.72 and 381.12 is: 526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.44 : 686.72 = 381.12 : x
  2. Step 2: Convert to fraction form
    497.44/686.72 = 381.12/x
  3. Step 3: Cross multiply
    497.44x = 686.72 × 381.12
  4. Step 4: Simplify right side
    497.44x = 261,722.73
  5. Step 5: Solve for x
    x = 261,722.73/497.44
  6. Step 6: Final answer
    x = 526.14

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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.