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Finding the Fourth Proportional to 812.52, 1,219.50 and 428.04

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Solution

The fourth proportional to 812.52, 1,219.50 and 428.04 is: 642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.52 : 1,219.50 = 428.04 : x
  2. Step 2: Convert to fraction form
    812.52/1,219.50 = 428.04/x
  3. Step 3: Cross multiply
    812.52x = 1,219.50 × 428.04
  4. Step 4: Simplify right side
    812.52x = 521,994.78
  5. Step 5: Solve for x
    x = 521,994.78/812.52
  6. Step 6: Final answer
    x = 642.44

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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.