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Finding the Fourth Proportional to 621.82, 927.90 and 556.12

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Solution

The fourth proportional to 621.82, 927.90 and 556.12 is: 829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.82 : 927.90 = 556.12 : x
  2. Step 2: Convert to fraction form
    621.82/927.90 = 556.12/x
  3. Step 3: Cross multiply
    621.82x = 927.90 × 556.12
  4. Step 4: Simplify right side
    621.82x = 516,023.75
  5. Step 5: Solve for x
    x = 516,023.75/621.82
  6. Step 6: Final answer
    x = 829.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.