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Finding the Fourth Proportional to 821.93, 1,233.12 and 335.33

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Solution

The fourth proportional to 821.93, 1,233.12 and 335.33 is: 503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.93 : 1,233.12 = 335.33 : x
  2. Step 2: Convert to fraction form
    821.93/1,233.12 = 335.33/x
  3. Step 3: Cross multiply
    821.93x = 1,233.12 × 335.33
  4. Step 4: Simplify right side
    821.93x = 413,495.96
  5. Step 5: Solve for x
    x = 413,495.96/821.93
  6. Step 6: Final answer
    x = 503.08

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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.