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Finding the Fourth Proportional to 1,760.43, 2,429.21 and 974.43

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Solution

The fourth proportional to 1,760.43, 2,429.21 and 974.43 is: 1,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.43 : 2,429.21 = 974.43 : x
  2. Step 2: Convert to fraction form
    1,760.43/2,429.21 = 974.43/x
  3. Step 3: Cross multiply
    1,760.43x = 2,429.21 × 974.43
  4. Step 4: Simplify right side
    1,760.43x = 2,367,090.23
  5. Step 5: Solve for x
    x = 2,367,090.23/1,760.43
  6. Step 6: Final answer
    x = 1,344.61

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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.