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Finding the Fourth Proportional to 1,327.50, 1,991.73 and 415.50

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Solution

The fourth proportional to 1,327.50, 1,991.73 and 415.50 is: 623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.50 : 1,991.73 = 415.50 : x
  2. Step 2: Convert to fraction form
    1,327.50/1,991.73 = 415.50/x
  3. Step 3: Cross multiply
    1,327.50x = 1,991.73 × 415.50
  4. Step 4: Simplify right side
    1,327.50x = 827,563.82
  5. Step 5: Solve for x
    x = 827,563.82/1,327.50
  6. Step 6: Final answer
    x = 623.40

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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.