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Finding the Fourth Proportional to 821.96, 1,226.30 and 739.74

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Solution

The fourth proportional to 821.96, 1,226.30 and 739.74 is: 1,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.96 : 1,226.30 = 739.74 : x
  2. Step 2: Convert to fraction form
    821.96/1,226.30 = 739.74/x
  3. Step 3: Cross multiply
    821.96x = 1,226.30 × 739.74
  4. Step 4: Simplify right side
    821.96x = 907,139.46
  5. Step 5: Solve for x
    x = 907,139.46/821.96
  6. Step 6: Final answer
    x = 1,103.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.