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Finding the Fourth Proportional to 1,760.68, 2,429.58 and 974.68

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Solution

The fourth proportional to 1,760.68, 2,429.58 and 974.68 is: 1,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.68 : 2,429.58 = 974.68 : x
  2. Step 2: Convert to fraction form
    1,760.68/2,429.58 = 974.68/x
  3. Step 3: Cross multiply
    1,760.68x = 2,429.58 × 974.68
  4. Step 4: Simplify right side
    1,760.68x = 2,368,063.03
  5. Step 5: Solve for x
    x = 2,368,063.03/1,760.68
  6. Step 6: Final answer
    x = 1,344.97

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1.5x scale

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.