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Finding the Fourth Proportional to 496.04, 685.07 and 386.82

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Solution

The fourth proportional to 496.04, 685.07 and 386.82 is: 534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.04 : 685.07 = 386.82 : x
  2. Step 2: Convert to fraction form
    496.04/685.07 = 386.82/x
  3. Step 3: Cross multiply
    496.04x = 685.07 × 386.82
  4. Step 4: Simplify right side
    496.04x = 264,998.78
  5. Step 5: Solve for x
    x = 264,998.78/496.04
  6. Step 6: Final answer
    x = 534.23

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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.