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Finding the Fourth Proportional to 658.86, 986.13 and 496.14

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Solution

The fourth proportional to 658.86, 986.13 and 496.14 is: 742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.86 : 986.13 = 496.14 : x
  2. Step 2: Convert to fraction form
    658.86/986.13 = 496.14/x
  3. Step 3: Cross multiply
    658.86x = 986.13 × 496.14
  4. Step 4: Simplify right side
    658.86x = 489,258.54
  5. Step 5: Solve for x
    x = 489,258.54/658.86
  6. Step 6: Final answer
    x = 742.58

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Why These Related Problems?

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