Home / 1,760.54-2,429.62-974.66

Finding the Fourth Proportional to 1,760.54, 2,429.62 and 974.66

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Solution

The fourth proportional to 1,760.54, 2,429.62 and 974.66 is: 1,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.54 : 2,429.62 = 974.66 : x
  2. Step 2: Convert to fraction form
    1,760.54/2,429.62 = 974.66/x
  3. Step 3: Cross multiply
    1,760.54x = 2,429.62 × 974.66
  4. Step 4: Simplify right side
    1,760.54x = 2,368,053.43
  5. Step 5: Solve for x
    x = 2,368,053.43/1,760.54
  6. Step 6: Final answer
    x = 1,345.07

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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.