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Finding the Fourth Proportional to 1,327.05, 1,990.51 and 547.04

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Solution

The fourth proportional to 1,327.05, 1,990.51 and 547.04 is: 820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.05 : 1,990.51 = 547.04 : x
  2. Step 2: Convert to fraction form
    1,327.05/1,990.51 = 547.04/x
  3. Step 3: Cross multiply
    1,327.05x = 1,990.51 × 547.04
  4. Step 4: Simplify right side
    1,327.05x = 1,088,886.79
  5. Step 5: Solve for x
    x = 1,088,886.79/1,327.05
  6. Step 6: Final answer
    x = 820.53

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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.