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Finding the Fourth Proportional to 619.14, 927.09 and 402.06

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Solution

The fourth proportional to 619.14, 927.09 and 402.06 is: 602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.14 : 927.09 = 402.06 : x
  2. Step 2: Convert to fraction form
    619.14/927.09 = 402.06/x
  3. Step 3: Cross multiply
    619.14x = 927.09 × 402.06
  4. Step 4: Simplify right side
    619.14x = 372,745.81
  5. Step 5: Solve for x
    x = 372,745.81/619.14
  6. Step 6: Final answer
    x = 602.04

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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.