Home / 1,183.40-1,632.75-763.76

Finding the Fourth Proportional to 1,183.40, 1,632.75 and 763.76

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Solution

The fourth proportional to 1,183.40, 1,632.75 and 763.76 is: 1,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.40 : 1,632.75 = 763.76 : x
  2. Step 2: Convert to fraction form
    1,183.40/1,632.75 = 763.76/x
  3. Step 3: Cross multiply
    1,183.40x = 1,632.75 × 763.76
  4. Step 4: Simplify right side
    1,183.40x = 1,247,020.98
  5. Step 5: Solve for x
    x = 1,247,020.98/1,183.40
  6. Step 6: Final answer
    x = 1,053.77

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1.5x scale

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.