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Finding the Fourth Proportional to 842.46, 1,262.71 and 451.99

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Solution

The fourth proportional to 842.46, 1,262.71 and 451.99 is: 677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.46 : 1,262.71 = 451.99 : x
  2. Step 2: Convert to fraction form
    842.46/1,262.71 = 451.99/x
  3. Step 3: Cross multiply
    842.46x = 1,262.71 × 451.99
  4. Step 4: Simplify right side
    842.46x = 570,732.29
  5. Step 5: Solve for x
    x = 570,732.29/842.46
  6. Step 6: Final answer
    x = 677.46

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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.