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Finding the Fourth Proportional to 494.65, 682.68 and 472.78

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Solution

The fourth proportional to 494.65, 682.68 and 472.78 is: 652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.65 : 682.68 = 472.78 : x
  2. Step 2: Convert to fraction form
    494.65/682.68 = 472.78/x
  3. Step 3: Cross multiply
    494.65x = 682.68 × 472.78
  4. Step 4: Simplify right side
    494.65x = 322,757.45
  5. Step 5: Solve for x
    x = 322,757.45/494.65
  6. Step 6: Final answer
    x = 652.50

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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.