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Finding the Fourth Proportional to 1,141.35, 1,574.55 and 721.41

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Solution

The fourth proportional to 1,141.35, 1,574.55 and 721.41 is: 995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.35 : 1,574.55 = 721.41 : x
  2. Step 2: Convert to fraction form
    1,141.35/1,574.55 = 721.41/x
  3. Step 3: Cross multiply
    1,141.35x = 1,574.55 × 721.41
  4. Step 4: Simplify right side
    1,141.35x = 1,135,896.12
  5. Step 5: Solve for x
    x = 1,135,896.12/1,141.35
  6. Step 6: Final answer
    x = 995.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.