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Finding the Fourth Proportional to 1,424.08, 2,134.72 and 682.84

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Solution

The fourth proportional to 1,424.08, 2,134.72 and 682.84 is: 1,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.08 : 2,134.72 = 682.84 : x
  2. Step 2: Convert to fraction form
    1,424.08/2,134.72 = 682.84/x
  3. Step 3: Cross multiply
    1,424.08x = 2,134.72 × 682.84
  4. Step 4: Simplify right side
    1,424.08x = 1,457,675.73
  5. Step 5: Solve for x
    x = 1,457,675.73/1,424.08
  6. Step 6: Final answer
    x = 1,023.59

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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.