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Finding the Fourth Proportional to 494.48, 682.26 and 284.63

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Solution

The fourth proportional to 494.48, 682.26 and 284.63 is: 392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.48 : 682.26 = 284.63 : x
  2. Step 2: Convert to fraction form
    494.48/682.26 = 284.63/x
  3. Step 3: Cross multiply
    494.48x = 682.26 × 284.63
  4. Step 4: Simplify right side
    494.48x = 194,188.25
  5. Step 5: Solve for x
    x = 194,188.25/494.48
  6. Step 6: Final answer
    x = 392.72

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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.