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Finding the Fourth Proportional to 842.74, 1,162.86 and 493.36

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Solution

The fourth proportional to 842.74, 1,162.86 and 493.36 is: 680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.74 : 1,162.86 = 493.36 : x
  2. Step 2: Convert to fraction form
    842.74/1,162.86 = 493.36/x
  3. Step 3: Cross multiply
    842.74x = 1,162.86 × 493.36
  4. Step 4: Simplify right side
    842.74x = 573,708.61
  5. Step 5: Solve for x
    x = 573,708.61/842.74
  6. Step 6: Final answer
    x = 680.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.