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Finding the Fourth Proportional to 1,231.65, 1,842.84 and 684.23

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Solution

The fourth proportional to 1,231.65, 1,842.84 and 684.23 is: 1,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.65 : 1,842.84 = 684.23 : x
  2. Step 2: Convert to fraction form
    1,231.65/1,842.84 = 684.23/x
  3. Step 3: Cross multiply
    1,231.65x = 1,842.84 × 684.23
  4. Step 4: Simplify right side
    1,231.65x = 1,260,917.20
  5. Step 5: Solve for x
    x = 1,260,917.20/1,231.65
  6. Step 6: Final answer
    x = 1,023.76

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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.