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Finding the Fourth Proportional to 657.42, 986.97 and 511.62

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Solution

The fourth proportional to 657.42, 986.97 and 511.62 is: 768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.42 : 986.97 = 511.62 : x
  2. Step 2: Convert to fraction form
    657.42/986.97 = 511.62/x
  3. Step 3: Cross multiply
    657.42x = 986.97 × 511.62
  4. Step 4: Simplify right side
    657.42x = 504,953.59
  5. Step 5: Solve for x
    x = 504,953.59/657.42
  6. Step 6: Final answer
    x = 768.08

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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.