Home / 1,228.14-1,694.81-723.92

Finding the Fourth Proportional to 1,228.14, 1,694.81 and 723.92

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Solution

The fourth proportional to 1,228.14, 1,694.81 and 723.92 is: 998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.14 : 1,694.81 = 723.92 : x
  2. Step 2: Convert to fraction form
    1,228.14/1,694.81 = 723.92/x
  3. Step 3: Cross multiply
    1,228.14x = 1,694.81 × 723.92
  4. Step 4: Simplify right side
    1,228.14x = 1,226,900.19
  5. Step 5: Solve for x
    x = 1,226,900.19/1,228.14
  6. Step 6: Final answer
    x = 998.99

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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.