Home / 1,162.24-1,742.80-675.40

Finding the Fourth Proportional to 1,162.24, 1,742.80 and 675.40

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Solution

The fourth proportional to 1,162.24, 1,742.80 and 675.40 is: 1,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.24 : 1,742.80 = 675.40 : x
  2. Step 2: Convert to fraction form
    1,162.24/1,742.80 = 675.40/x
  3. Step 3: Cross multiply
    1,162.24x = 1,742.80 × 675.40
  4. Step 4: Simplify right side
    1,162.24x = 1,177,087.12
  5. Step 5: Solve for x
    x = 1,177,087.12/1,162.24
  6. Step 6: Final answer
    x = 1,012.77

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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.