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Finding the Fourth Proportional to 821.39, 1,231.09 and 473.99

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Solution

The fourth proportional to 821.39, 1,231.09 and 473.99 is: 710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.39 : 1,231.09 = 473.99 : x
  2. Step 2: Convert to fraction form
    821.39/1,231.09 = 473.99/x
  3. Step 3: Cross multiply
    821.39x = 1,231.09 × 473.99
  4. Step 4: Simplify right side
    821.39x = 583,526.24
  5. Step 5: Solve for x
    x = 583,526.24/821.39
  6. Step 6: Final answer
    x = 710.42

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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.