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Finding the Fourth Proportional to 621.82, 931.71 and 377.61

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Solution

The fourth proportional to 621.82, 931.71 and 377.61 is: 565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.82 : 931.71 = 377.61 : x
  2. Step 2: Convert to fraction form
    621.82/931.71 = 377.61/x
  3. Step 3: Cross multiply
    621.82x = 931.71 × 377.61
  4. Step 4: Simplify right side
    621.82x = 351,820.94
  5. Step 5: Solve for x
    x = 351,820.94/621.82
  6. Step 6: Final answer
    x = 565.79

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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.