Home / 1,042.12-1,563.25-989.57

Finding the Fourth Proportional to 1,042.12, 1,563.25 and 989.57

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Solution

The fourth proportional to 1,042.12, 1,563.25 and 989.57 is: 1,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.12 : 1,563.25 = 989.57 : x
  2. Step 2: Convert to fraction form
    1,042.12/1,563.25 = 989.57/x
  3. Step 3: Cross multiply
    1,042.12x = 1,563.25 × 989.57
  4. Step 4: Simplify right side
    1,042.12x = 1,546,939.80
  5. Step 5: Solve for x
    x = 1,546,939.80/1,042.12
  6. Step 6: Final answer
    x = 1,484.42

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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.