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Finding the Fourth Proportional to 454.82, 680.99 and 356.80

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Solution

The fourth proportional to 454.82, 680.99 and 356.80 is: 534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.82 : 680.99 = 356.80 : x
  2. Step 2: Convert to fraction form
    454.82/680.99 = 356.80/x
  3. Step 3: Cross multiply
    454.82x = 680.99 × 356.80
  4. Step 4: Simplify right side
    454.82x = 242,977.23
  5. Step 5: Solve for x
    x = 242,977.23/454.82
  6. Step 6: Final answer
    x = 534.23

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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.