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Finding the Fourth Proportional to 1,493.13, 2,239.70 and 843.71

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Solution

The fourth proportional to 1,493.13, 2,239.70 and 843.71 is: 1,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.13 : 2,239.70 = 843.71 : x
  2. Step 2: Convert to fraction form
    1,493.13/2,239.70 = 843.71/x
  3. Step 3: Cross multiply
    1,493.13x = 2,239.70 × 843.71
  4. Step 4: Simplify right side
    1,493.13x = 1,889,659.40
  5. Step 5: Solve for x
    x = 1,889,659.40/1,493.13
  6. Step 6: Final answer
    x = 1,265.57

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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.