Home / 1,760.28-2,429.24-974.40

Finding the Fourth Proportional to 1,760.28, 2,429.24 and 974.40

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Solution

The fourth proportional to 1,760.28, 2,429.24 and 974.40 is: 1,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.28 : 2,429.24 = 974.40 : x
  2. Step 2: Convert to fraction form
    1,760.28/2,429.24 = 974.40/x
  3. Step 3: Cross multiply
    1,760.28x = 2,429.24 × 974.40
  4. Step 4: Simplify right side
    1,760.28x = 2,367,051.46
  5. Step 5: Solve for x
    x = 2,367,051.46/1,760.28
  6. Step 6: Final answer
    x = 1,344.70

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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.