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Finding the Fourth Proportional to 453.83, 680.70 and 280.52

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Solution

The fourth proportional to 453.83, 680.70 and 280.52 is: 420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.83 : 680.70 = 280.52 : x
  2. Step 2: Convert to fraction form
    453.83/680.70 = 280.52/x
  3. Step 3: Cross multiply
    453.83x = 680.70 × 280.52
  4. Step 4: Simplify right side
    453.83x = 190,949.96
  5. Step 5: Solve for x
    x = 190,949.96/453.83
  6. Step 6: Final answer
    x = 420.75

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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.