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Finding the Fourth Proportional to 821.75, 1,133.97 and 467.72

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Solution

The fourth proportional to 821.75, 1,133.97 and 467.72 is: 645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.75 : 1,133.97 = 467.72 : x
  2. Step 2: Convert to fraction form
    821.75/1,133.97 = 467.72/x
  3. Step 3: Cross multiply
    821.75x = 1,133.97 × 467.72
  4. Step 4: Simplify right side
    821.75x = 530,387.60
  5. Step 5: Solve for x
    x = 530,387.60/821.75
  6. Step 6: Final answer
    x = 645.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.