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Finding the Fourth Proportional to 803.28, 1,203.36 and 455.54

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Solution

The fourth proportional to 803.28, 1,203.36 and 455.54 is: 682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.28 : 1,203.36 = 455.54 : x
  2. Step 2: Convert to fraction form
    803.28/1,203.36 = 455.54/x
  3. Step 3: Cross multiply
    803.28x = 1,203.36 × 455.54
  4. Step 4: Simplify right side
    803.28x = 548,172.60
  5. Step 5: Solve for x
    x = 548,172.60/803.28
  6. Step 6: Final answer
    x = 682.42

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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.