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Finding the Fourth Proportional to 619.53, 928.23 and 272.31

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Solution

The fourth proportional to 619.53, 928.23 and 272.31 is: 408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.53 : 928.23 = 272.31 : x
  2. Step 2: Convert to fraction form
    619.53/928.23 = 272.31/x
  3. Step 3: Cross multiply
    619.53x = 928.23 × 272.31
  4. Step 4: Simplify right side
    619.53x = 252,766.31
  5. Step 5: Solve for x
    x = 252,766.31/619.53
  6. Step 6: Final answer
    x = 408.00

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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.