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Finding the Fourth Proportional to 621.89, 930.78 and 377.23

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Solution

The fourth proportional to 621.89, 930.78 and 377.23 is: 564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.89 : 930.78 = 377.23 : x
  2. Step 2: Convert to fraction form
    621.89/930.78 = 377.23/x
  3. Step 3: Cross multiply
    621.89x = 930.78 × 377.23
  4. Step 4: Simplify right side
    621.89x = 351,113.49
  5. Step 5: Solve for x
    x = 351,113.49/621.89
  6. Step 6: Final answer
    x = 564.59

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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.