Home / 1,504.52-2,076.26-857.78

Finding the Fourth Proportional to 1,504.52, 2,076.26 and 857.78

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Solution

The fourth proportional to 1,504.52, 2,076.26 and 857.78 is: 1,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.52 : 2,076.26 = 857.78 : x
  2. Step 2: Convert to fraction form
    1,504.52/2,076.26 = 857.78/x
  3. Step 3: Cross multiply
    1,504.52x = 2,076.26 × 857.78
  4. Step 4: Simplify right side
    1,504.52x = 1,780,975.20
  5. Step 5: Solve for x
    x = 1,780,975.20/1,504.52
  6. Step 6: Final answer
    x = 1,183.75

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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.