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Finding the Fourth Proportional to 494.49, 681.48 and 415.83

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Solution

The fourth proportional to 494.49, 681.48 and 415.83 is: 573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.49 : 681.48 = 415.83 : x
  2. Step 2: Convert to fraction form
    494.49/681.48 = 415.83/x
  3. Step 3: Cross multiply
    494.49x = 681.48 × 415.83
  4. Step 4: Simplify right side
    494.49x = 283,379.83
  5. Step 5: Solve for x
    x = 283,379.83/494.49
  6. Step 6: Final answer
    x = 573.07

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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.