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Finding the Fourth Proportional to 1,327.13, 1,990.98 and 505.40

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Solution

The fourth proportional to 1,327.13, 1,990.98 and 505.40 is: 758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.13 : 1,990.98 = 505.40 : x
  2. Step 2: Convert to fraction form
    1,327.13/1,990.98 = 505.40/x
  3. Step 3: Cross multiply
    1,327.13x = 1,990.98 × 505.40
  4. Step 4: Simplify right side
    1,327.13x = 1,006,241.29
  5. Step 5: Solve for x
    x = 1,006,241.29/1,327.13
  6. Step 6: Final answer
    x = 758.21

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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.