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Finding the Fourth Proportional to 494.48, 682.80 and 364.16

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Solution

The fourth proportional to 494.48, 682.80 and 364.16 is: 502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.48 : 682.80 = 364.16 : x
  2. Step 2: Convert to fraction form
    494.48/682.80 = 364.16/x
  3. Step 3: Cross multiply
    494.48x = 682.80 × 364.16
  4. Step 4: Simplify right side
    494.48x = 248,648.45
  5. Step 5: Solve for x
    x = 248,648.45/494.48
  6. Step 6: Final answer
    x = 502.85

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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.