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Finding the Fourth Proportional to 493.84, 676.90 and 487.02

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Solution

The fourth proportional to 493.84, 676.90 and 487.02 is: 667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.84 : 676.90 = 487.02 : x
  2. Step 2: Convert to fraction form
    493.84/676.90 = 487.02/x
  3. Step 3: Cross multiply
    493.84x = 676.90 × 487.02
  4. Step 4: Simplify right side
    493.84x = 329,663.84
  5. Step 5: Solve for x
    x = 329,663.84/493.84
  6. Step 6: Final answer
    x = 667.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.