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Finding the Fourth Proportional to 821.53, 1,231.79 and 456.22

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Solution

The fourth proportional to 821.53, 1,231.79 and 456.22 is: 684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.53 : 1,231.79 = 456.22 : x
  2. Step 2: Convert to fraction form
    821.53/1,231.79 = 456.22/x
  3. Step 3: Cross multiply
    821.53x = 1,231.79 × 456.22
  4. Step 4: Simplify right side
    821.53x = 561,967.23
  5. Step 5: Solve for x
    x = 561,967.23/821.53
  6. Step 6: Final answer
    x = 684.05

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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.