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Finding the Fourth Proportional to 817.17, 1,224.82 and 354.25

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Solution

The fourth proportional to 817.17, 1,224.82 and 354.25 is: 530.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.17 : 1,224.82 = 354.25 : x
  2. Step 2: Convert to fraction form
    817.17/1,224.82 = 354.25/x
  3. Step 3: Cross multiply
    817.17x = 1,224.82 × 354.25
  4. Step 4: Simplify right side
    817.17x = 433,892.49
  5. Step 5: Solve for x
    x = 433,892.49/817.17
  6. Step 6: Final answer
    x = 530.97

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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.