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Finding the Fourth Proportional to 454.63, 625.97 and 380.79

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Solution

The fourth proportional to 454.63, 625.97 and 380.79 is: 524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.63 : 625.97 = 380.79 : x
  2. Step 2: Convert to fraction form
    454.63/625.97 = 380.79/x
  3. Step 3: Cross multiply
    454.63x = 625.97 × 380.79
  4. Step 4: Simplify right side
    454.63x = 238,363.12
  5. Step 5: Solve for x
    x = 238,363.12/454.63
  6. Step 6: Final answer
    x = 524.30

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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.