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Finding the Fourth Proportional to 816.57, 1,223.85 and 353.80

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Solution

The fourth proportional to 816.57, 1,223.85 and 353.80 is: 530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.57 : 1,223.85 = 353.80 : x
  2. Step 2: Convert to fraction form
    816.57/1,223.85 = 353.80/x
  3. Step 3: Cross multiply
    816.57x = 1,223.85 × 353.80
  4. Step 4: Simplify right side
    816.57x = 432,998.13
  5. Step 5: Solve for x
    x = 432,998.13/816.57
  6. Step 6: Final answer
    x = 530.27

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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.