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Finding the Fourth Proportional to 821.61, 1,233.23 and 488.43

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Solution

The fourth proportional to 821.61, 1,233.23 and 488.43 is: 733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.61 : 1,233.23 = 488.43 : x
  2. Step 2: Convert to fraction form
    821.61/1,233.23 = 488.43/x
  3. Step 3: Cross multiply
    821.61x = 1,233.23 × 488.43
  4. Step 4: Simplify right side
    821.61x = 602,344.09
  5. Step 5: Solve for x
    x = 602,344.09/821.61
  6. Step 6: Final answer
    x = 733.13

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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.