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Finding the Fourth Proportional to 658.82, 986.40 and 496.01

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Solution

The fourth proportional to 658.82, 986.40 and 496.01 is: 742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.82 : 986.40 = 496.01 : x
  2. Step 2: Convert to fraction form
    658.82/986.40 = 496.01/x
  3. Step 3: Cross multiply
    658.82x = 986.40 × 496.01
  4. Step 4: Simplify right side
    658.82x = 489,259.33
  5. Step 5: Solve for x
    x = 489,259.33/658.82
  6. Step 6: Final answer
    x = 742.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.