Home / 1,183.13-1,630.69-809.45

Finding the Fourth Proportional to 1,183.13, 1,630.69 and 809.45

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Solution

The fourth proportional to 1,183.13, 1,630.69 and 809.45 is: 1,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.13 : 1,630.69 = 809.45 : x
  2. Step 2: Convert to fraction form
    1,183.13/1,630.69 = 809.45/x
  3. Step 3: Cross multiply
    1,183.13x = 1,630.69 × 809.45
  4. Step 4: Simplify right side
    1,183.13x = 1,319,962.02
  5. Step 5: Solve for x
    x = 1,319,962.02/1,183.13
  6. Step 6: Final answer
    x = 1,115.65

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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.