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Finding the Fourth Proportional to 1,327.10, 1,990.62 and 546.92

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Solution

The fourth proportional to 1,327.10, 1,990.62 and 546.92 is: 820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.10 : 1,990.62 = 546.92 : x
  2. Step 2: Convert to fraction form
    1,327.10/1,990.62 = 546.92/x
  3. Step 3: Cross multiply
    1,327.10x = 1,990.62 × 546.92
  4. Step 4: Simplify right side
    1,327.10x = 1,088,709.89
  5. Step 5: Solve for x
    x = 1,088,709.89/1,327.10
  6. Step 6: Final answer
    x = 820.37

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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.