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Finding the Fourth Proportional to 454.60, 680.68 and 291.80

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Solution

The fourth proportional to 454.60, 680.68 and 291.80 is: 436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.60 : 680.68 = 291.80 : x
  2. Step 2: Convert to fraction form
    454.60/680.68 = 291.80/x
  3. Step 3: Cross multiply
    454.60x = 680.68 × 291.80
  4. Step 4: Simplify right side
    454.60x = 198,622.42
  5. Step 5: Solve for x
    x = 198,622.42/454.60
  6. Step 6: Final answer
    x = 436.92

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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.