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Finding the Fourth Proportional to 612, 922.26 and 511.56

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Solution

The fourth proportional to 612, 922.26 and 511.56 is: 770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    612 : 922.26 = 511.56 : x
  2. Step 2: Convert to fraction form
    612/922.26 = 511.56/x
  3. Step 3: Cross multiply
    612x = 922.26 × 511.56
  4. Step 4: Simplify right side
    612x = 471,791.33
  5. Step 5: Solve for x
    x = 471,791.33/612
  6. Step 6: Final answer
    x = 770.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.