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Finding the Fourth Proportional to 619.97, 929.94 and 157.75

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Solution

The fourth proportional to 619.97, 929.94 and 157.75 is: 236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.97 : 929.94 = 157.75 : x
  2. Step 2: Convert to fraction form
    619.97/929.94 = 157.75/x
  3. Step 3: Cross multiply
    619.97x = 929.94 × 157.75
  4. Step 4: Simplify right side
    619.97x = 146,699.35
  5. Step 5: Solve for x
    x = 146,699.35/619.97
  6. Step 6: Final answer
    x = 236.62

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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.