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Finding the Fourth Proportional to 676.29, 932.36 and 427.49

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Solution

The fourth proportional to 676.29, 932.36 and 427.49 is: 589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.29 : 932.36 = 427.49 : x
  2. Step 2: Convert to fraction form
    676.29/932.36 = 427.49/x
  3. Step 3: Cross multiply
    676.29x = 932.36 × 427.49
  4. Step 4: Simplify right side
    676.29x = 398,572.88
  5. Step 5: Solve for x
    x = 398,572.88/676.29
  6. Step 6: Final answer
    x = 589.35

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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.