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Finding the Fourth Proportional to 454.80, 680.37 and 377.92

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Solution

The fourth proportional to 454.80, 680.37 and 377.92 is: 565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.80 : 680.37 = 377.92 : x
  2. Step 2: Convert to fraction form
    454.80/680.37 = 377.92/x
  3. Step 3: Cross multiply
    454.80x = 680.37 × 377.92
  4. Step 4: Simplify right side
    454.80x = 257,124.86
  5. Step 5: Solve for x
    x = 257,124.86/454.80
  6. Step 6: Final answer
    x = 565.35

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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.