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Finding the Fourth Proportional to 821.48, 1,231.74 and 734.81

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Solution

The fourth proportional to 821.48, 1,231.74 and 734.81 is: 1,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.48 : 1,231.74 = 734.81 : x
  2. Step 2: Convert to fraction form
    821.48/1,231.74 = 734.81/x
  3. Step 3: Cross multiply
    821.48x = 1,231.74 × 734.81
  4. Step 4: Simplify right side
    821.48x = 905,088.71
  5. Step 5: Solve for x
    x = 905,088.71/821.48
  6. Step 6: Final answer
    x = 1,101.78

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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.