Home / 1,313.16-1,812.24-723.75

Finding the Fourth Proportional to 1,313.16, 1,812.24 and 723.75

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Solution

The fourth proportional to 1,313.16, 1,812.24 and 723.75 is: 998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.16 : 1,812.24 = 723.75 : x
  2. Step 2: Convert to fraction form
    1,313.16/1,812.24 = 723.75/x
  3. Step 3: Cross multiply
    1,313.16x = 1,812.24 × 723.75
  4. Step 4: Simplify right side
    1,313.16x = 1,311,608.70
  5. Step 5: Solve for x
    x = 1,311,608.70/1,313.16
  6. Step 6: Final answer
    x = 998.82

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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.