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Finding the Fourth Proportional to 496.58, 685.28 and 300.06

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Solution

The fourth proportional to 496.58, 685.28 and 300.06 is: 414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.58 : 685.28 = 300.06 : x
  2. Step 2: Convert to fraction form
    496.58/685.28 = 300.06/x
  3. Step 3: Cross multiply
    496.58x = 685.28 × 300.06
  4. Step 4: Simplify right side
    496.58x = 205,625.12
  5. Step 5: Solve for x
    x = 205,625.12/496.58
  6. Step 6: Final answer
    x = 414.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.