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Finding the Fourth Proportional to 619.73, 927.75 and 593

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Solution

The fourth proportional to 619.73, 927.75 and 593 is: 887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.73 : 927.75 = 593 : x
  2. Step 2: Convert to fraction form
    619.73/927.75 = 593/x
  3. Step 3: Cross multiply
    619.73x = 927.75 × 593
  4. Step 4: Simplify right side
    619.73x = 550,155.75
  5. Step 5: Solve for x
    x = 550,155.75/619.73
  6. Step 6: Final answer
    x = 887.73

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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.