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Finding the Fourth Proportional to 676.06, 932.95 and 381.33

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Solution

The fourth proportional to 676.06, 932.95 and 381.33 is: 526.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.06 : 932.95 = 381.33 : x
  2. Step 2: Convert to fraction form
    676.06/932.95 = 381.33/x
  3. Step 3: Cross multiply
    676.06x = 932.95 × 381.33
  4. Step 4: Simplify right side
    676.06x = 355,761.82
  5. Step 5: Solve for x
    x = 355,761.82/676.06
  6. Step 6: Final answer
    x = 526.23

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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.