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Finding the Fourth Proportional to 1,760.42, 2,429.44 and 974.46

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Solution

The fourth proportional to 1,760.42, 2,429.44 and 974.46 is: 1,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.42 : 2,429.44 = 974.46 : x
  2. Step 2: Convert to fraction form
    1,760.42/2,429.44 = 974.46/x
  3. Step 3: Cross multiply
    1,760.42x = 2,429.44 × 974.46
  4. Step 4: Simplify right side
    1,760.42x = 2,367,392.10
  5. Step 5: Solve for x
    x = 2,367,392.10/1,760.42
  6. Step 6: Final answer
    x = 1,344.79

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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.