Home / 1,760.64-2,429.70-974.72

Finding the Fourth Proportional to 1,760.64, 2,429.70 and 974.72

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Solution

The fourth proportional to 1,760.64, 2,429.70 and 974.72 is: 1,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.64 : 2,429.70 = 974.72 : x
  2. Step 2: Convert to fraction form
    1,760.64/2,429.70 = 974.72/x
  3. Step 3: Cross multiply
    1,760.64x = 2,429.70 × 974.72
  4. Step 4: Simplify right side
    1,760.64x = 2,368,277.18
  5. Step 5: Solve for x
    x = 2,368,277.18/1,760.64
  6. Step 6: Final answer
    x = 1,345.12

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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.