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Finding the Fourth Proportional to 496.87, 685.37 and 339.53

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Solution

The fourth proportional to 496.87, 685.37 and 339.53 is: 468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.87 : 685.37 = 339.53 : x
  2. Step 2: Convert to fraction form
    496.87/685.37 = 339.53/x
  3. Step 3: Cross multiply
    496.87x = 685.37 × 339.53
  4. Step 4: Simplify right side
    496.87x = 232,701.10
  5. Step 5: Solve for x
    x = 232,701.10/496.87
  6. Step 6: Final answer
    x = 468.34

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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.