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Finding the Fourth Proportional to 494.57, 682.53 and 284.82

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Solution

The fourth proportional to 494.57, 682.53 and 284.82 is: 393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.57 : 682.53 = 284.82 : x
  2. Step 2: Convert to fraction form
    494.57/682.53 = 284.82/x
  3. Step 3: Cross multiply
    494.57x = 682.53 × 284.82
  4. Step 4: Simplify right side
    494.57x = 194,394.57
  5. Step 5: Solve for x
    x = 194,394.57/494.57
  6. Step 6: Final answer
    x = 393.06

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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.