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Finding the Fourth Proportional to 1,327.49, 1,991.04 and 505.77

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Solution

The fourth proportional to 1,327.49, 1,991.04 and 505.77 is: 758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.49 : 1,991.04 = 505.77 : x
  2. Step 2: Convert to fraction form
    1,327.49/1,991.04 = 505.77/x
  3. Step 3: Cross multiply
    1,327.49x = 1,991.04 × 505.77
  4. Step 4: Simplify right side
    1,327.49x = 1,007,008.30
  5. Step 5: Solve for x
    x = 1,007,008.30/1,327.49
  6. Step 6: Final answer
    x = 758.58

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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.