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Finding the Fourth Proportional to 842.76, 1,163 and 493.46

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Solution

The fourth proportional to 842.76, 1,163 and 493.46 is: 680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.76 : 1,163 = 493.46 : x
  2. Step 2: Convert to fraction form
    842.76/1,163 = 493.46/x
  3. Step 3: Cross multiply
    842.76x = 1,163 × 493.46
  4. Step 4: Simplify right side
    842.76x = 573,893.98
  5. Step 5: Solve for x
    x = 573,893.98/842.76
  6. Step 6: Final answer
    x = 680.97

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Double scale
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1.5x scale

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.