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Finding the Fourth Proportional to 657.93, 986.56 and 311.19

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Solution

The fourth proportional to 657.93, 986.56 and 311.19 is: 466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.93 : 986.56 = 311.19 : x
  2. Step 2: Convert to fraction form
    657.93/986.56 = 311.19/x
  3. Step 3: Cross multiply
    657.93x = 986.56 × 311.19
  4. Step 4: Simplify right side
    657.93x = 307,007.61
  5. Step 5: Solve for x
    x = 307,007.61/657.93
  6. Step 6: Final answer
    x = 466.63

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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.