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Finding the Fourth Proportional to 454.12, 625.99 and 355.70

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Solution

The fourth proportional to 454.12, 625.99 and 355.70 is: 490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.12 : 625.99 = 355.70 : x
  2. Step 2: Convert to fraction form
    454.12/625.99 = 355.70/x
  3. Step 3: Cross multiply
    454.12x = 625.99 × 355.70
  4. Step 4: Simplify right side
    454.12x = 222,664.64
  5. Step 5: Solve for x
    x = 222,664.64/454.12
  6. Step 6: Final answer
    x = 490.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.