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Finding the Fourth Proportional to 619.30, 926.79 and 427.06

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Solution

The fourth proportional to 619.30, 926.79 and 427.06 is: 639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.30 : 926.79 = 427.06 : x
  2. Step 2: Convert to fraction form
    619.30/926.79 = 427.06/x
  3. Step 3: Cross multiply
    619.30x = 926.79 × 427.06
  4. Step 4: Simplify right side
    619.30x = 395,794.94
  5. Step 5: Solve for x
    x = 395,794.94/619.30
  6. Step 6: Final answer
    x = 639.10

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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.