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Finding the Fourth Proportional to 494.47, 680.52 and 415.60

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Solution

The fourth proportional to 494.47, 680.52 and 415.60 is: 571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.47 : 680.52 = 415.60 : x
  2. Step 2: Convert to fraction form
    494.47/680.52 = 415.60/x
  3. Step 3: Cross multiply
    494.47x = 680.52 × 415.60
  4. Step 4: Simplify right side
    494.47x = 282,824.11
  5. Step 5: Solve for x
    x = 282,824.11/494.47
  6. Step 6: Final answer
    x = 571.97

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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.