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Finding the Fourth Proportional to 657.74, 986.36 and 311.02

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Solution

The fourth proportional to 657.74, 986.36 and 311.02 is: 466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.74 : 986.36 = 311.02 : x
  2. Step 2: Convert to fraction form
    657.74/986.36 = 311.02/x
  3. Step 3: Cross multiply
    657.74x = 986.36 × 311.02
  4. Step 4: Simplify right side
    657.74x = 306,777.69
  5. Step 5: Solve for x
    x = 306,777.69/657.74
  6. Step 6: Final answer
    x = 466.41

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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.