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Finding the Fourth Proportional to 619.17, 927.89 and 289.76

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Solution

The fourth proportional to 619.17, 927.89 and 289.76 is: 434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.17 : 927.89 = 289.76 : x
  2. Step 2: Convert to fraction form
    619.17/927.89 = 289.76/x
  3. Step 3: Cross multiply
    619.17x = 927.89 × 289.76
  4. Step 4: Simplify right side
    619.17x = 268,860.40
  5. Step 5: Solve for x
    x = 268,860.40/619.17
  6. Step 6: Final answer
    x = 434.23

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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.