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Finding the Fourth Proportional to 676.03, 932.87 and 396.23

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Solution

The fourth proportional to 676.03, 932.87 and 396.23 is: 546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.03 : 932.87 = 396.23 : x
  2. Step 2: Convert to fraction form
    676.03/932.87 = 396.23/x
  3. Step 3: Cross multiply
    676.03x = 932.87 × 396.23
  4. Step 4: Simplify right side
    676.03x = 369,631.08
  5. Step 5: Solve for x
    x = 369,631.08/676.03
  6. Step 6: Final answer
    x = 546.77

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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.