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Finding the Fourth Proportional to 842.92, 1,163.15 and 493.81

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Solution

The fourth proportional to 842.92, 1,163.15 and 493.81 is: 681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.92 : 1,163.15 = 493.81 : x
  2. Step 2: Convert to fraction form
    842.92/1,163.15 = 493.81/x
  3. Step 3: Cross multiply
    842.92x = 1,163.15 × 493.81
  4. Step 4: Simplify right side
    842.92x = 574,372.63
  5. Step 5: Solve for x
    x = 574,372.63/842.92
  6. Step 6: Final answer
    x = 681.41

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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.