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Finding the Fourth Proportional to 505.60, 757.92 and 450.92

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Solution

The fourth proportional to 505.60, 757.92 and 450.92 is: 675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.60 : 757.92 = 450.92 : x
  2. Step 2: Convert to fraction form
    505.60/757.92 = 450.92/x
  3. Step 3: Cross multiply
    505.60x = 757.92 × 450.92
  4. Step 4: Simplify right side
    505.60x = 341,764.87
  5. Step 5: Solve for x
    x = 341,764.87/505.60
  6. Step 6: Final answer
    x = 675.96

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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.