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Finding the Fourth Proportional to 676.13, 932.90 and 381.33

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Solution

The fourth proportional to 676.13, 932.90 and 381.33 is: 526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.13 : 932.90 = 381.33 : x
  2. Step 2: Convert to fraction form
    676.13/932.90 = 381.33/x
  3. Step 3: Cross multiply
    676.13x = 932.90 × 381.33
  4. Step 4: Simplify right side
    676.13x = 355,740.85
  5. Step 5: Solve for x
    x = 355,740.85/676.13
  6. Step 6: Final answer
    x = 526.15

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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.