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Finding the Fourth Proportional to 821.22, 1,230.76 and 734.04

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Solution

The fourth proportional to 821.22, 1,230.76 and 734.04 is: 1,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.22 : 1,230.76 = 734.04 : x
  2. Step 2: Convert to fraction form
    821.22/1,230.76 = 734.04/x
  3. Step 3: Cross multiply
    821.22x = 1,230.76 × 734.04
  4. Step 4: Simplify right side
    821.22x = 903,427.07
  5. Step 5: Solve for x
    x = 903,427.07/821.22
  6. Step 6: Final answer
    x = 1,100.10

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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.