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Finding the Fourth Proportional to 494.37, 682.48 and 317.60

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Solution

The fourth proportional to 494.37, 682.48 and 317.60 is: 438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.37 : 682.48 = 317.60 : x
  2. Step 2: Convert to fraction form
    494.37/682.48 = 317.60/x
  3. Step 3: Cross multiply
    494.37x = 682.48 × 317.60
  4. Step 4: Simplify right side
    494.37x = 216,754.17
  5. Step 5: Solve for x
    x = 216,754.17/494.37
  6. Step 6: Final answer
    x = 438.44

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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.