Home / 1,182.30-1,774.20-451.96

Finding the Fourth Proportional to 1,182.30, 1,774.20 and 451.96

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Solution

The fourth proportional to 1,182.30, 1,774.20 and 451.96 is: 678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.30 : 1,774.20 = 451.96 : x
  2. Step 2: Convert to fraction form
    1,182.30/1,774.20 = 451.96/x
  3. Step 3: Cross multiply
    1,182.30x = 1,774.20 × 451.96
  4. Step 4: Simplify right side
    1,182.30x = 801,867.43
  5. Step 5: Solve for x
    x = 801,867.43/1,182.30
  6. Step 6: Final answer
    x = 678.23

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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.