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Finding the Fourth Proportional to 821.70, 1,231.47 and 388.44

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Solution

The fourth proportional to 821.70, 1,231.47 and 388.44 is: 582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.70 : 1,231.47 = 388.44 : x
  2. Step 2: Convert to fraction form
    821.70/1,231.47 = 388.44/x
  3. Step 3: Cross multiply
    821.70x = 1,231.47 × 388.44
  4. Step 4: Simplify right side
    821.70x = 478,352.21
  5. Step 5: Solve for x
    x = 478,352.21/821.70
  6. Step 6: Final answer
    x = 582.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.