Home / 1,422.37-2,130.78-804.20

Finding the Fourth Proportional to 1,422.37, 2,130.78 and 804.20

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Solution

The fourth proportional to 1,422.37, 2,130.78 and 804.20 is: 1,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.37 : 2,130.78 = 804.20 : x
  2. Step 2: Convert to fraction form
    1,422.37/2,130.78 = 804.20/x
  3. Step 3: Cross multiply
    1,422.37x = 2,130.78 × 804.20
  4. Step 4: Simplify right side
    1,422.37x = 1,713,573.28
  5. Step 5: Solve for x
    x = 1,713,573.28/1,422.37
  6. Step 6: Final answer
    x = 1,204.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.