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Finding the Fourth Proportional to 1,327.90, 1,991.31 and 462.01

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Solution

The fourth proportional to 1,327.90, 1,991.31 and 462.01 is: 692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.90 : 1,991.31 = 462.01 : x
  2. Step 2: Convert to fraction form
    1,327.90/1,991.31 = 462.01/x
  3. Step 3: Cross multiply
    1,327.90x = 1,991.31 × 462.01
  4. Step 4: Simplify right side
    1,327.90x = 920,005.13
  5. Step 5: Solve for x
    x = 920,005.13/1,327.90
  6. Step 6: Final answer
    x = 692.83

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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.