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Finding the Fourth Proportional to 821.73, 1,233.51 and 335.13

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Solution

The fourth proportional to 821.73, 1,233.51 and 335.13 is: 503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.73 : 1,233.51 = 335.13 : x
  2. Step 2: Convert to fraction form
    821.73/1,233.51 = 335.13/x
  3. Step 3: Cross multiply
    821.73x = 1,233.51 × 335.13
  4. Step 4: Simplify right side
    821.73x = 413,386.21
  5. Step 5: Solve for x
    x = 413,386.21/821.73
  6. Step 6: Final answer
    x = 503.07

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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.