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Finding the Fourth Proportional to 1,791.85, 2,688.11 and 621.80

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Solution

The fourth proportional to 1,791.85, 2,688.11 and 621.80 is: 932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.85 : 2,688.11 = 621.80 : x
  2. Step 2: Convert to fraction form
    1,791.85/2,688.11 = 621.80/x
  3. Step 3: Cross multiply
    1,791.85x = 2,688.11 × 621.80
  4. Step 4: Simplify right side
    1,791.85x = 1,671,466.80
  5. Step 5: Solve for x
    x = 1,671,466.80/1,791.85
  6. Step 6: Final answer
    x = 932.82

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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.