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Finding the Fourth Proportional to 989.15, 1,482.31 and 727.09

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Solution

The fourth proportional to 989.15, 1,482.31 and 727.09 is: 1,089.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.15 : 1,482.31 = 727.09 : x
  2. Step 2: Convert to fraction form
    989.15/1,482.31 = 727.09/x
  3. Step 3: Cross multiply
    989.15x = 1,482.31 × 727.09
  4. Step 4: Simplify right side
    989.15x = 1,077,772.78
  5. Step 5: Solve for x
    x = 1,077,772.78/989.15
  6. Step 6: Final answer
    x = 1,089.59

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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.