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Finding the Fourth Proportional to 676.17, 932.94 and 381.33

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Solution

The fourth proportional to 676.17, 932.94 and 381.33 is: 526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.17 : 932.94 = 381.33 : x
  2. Step 2: Convert to fraction form
    676.17/932.94 = 381.33/x
  3. Step 3: Cross multiply
    676.17x = 932.94 × 381.33
  4. Step 4: Simplify right side
    676.17x = 355,758.01
  5. Step 5: Solve for x
    x = 355,758.01/676.17
  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.