Home / 1,183.36-1,632.52-785.12

Finding the Fourth Proportional to 1,183.36, 1,632.52 and 785.12

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Solution

The fourth proportional to 1,183.36, 1,632.52 and 785.12 is: 1,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.36 : 1,632.52 = 785.12 : x
  2. Step 2: Convert to fraction form
    1,183.36/1,632.52 = 785.12/x
  3. Step 3: Cross multiply
    1,183.36x = 1,632.52 × 785.12
  4. Step 4: Simplify right side
    1,183.36x = 1,281,724.10
  5. Step 5: Solve for x
    x = 1,281,724.10/1,183.36
  6. Step 6: Final answer
    x = 1,083.12

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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.