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Finding the Fourth Proportional to 505.22, 754.45 and 395.78

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Solution

The fourth proportional to 505.22, 754.45 and 395.78 is: 591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.22 : 754.45 = 395.78 : x
  2. Step 2: Convert to fraction form
    505.22/754.45 = 395.78/x
  3. Step 3: Cross multiply
    505.22x = 754.45 × 395.78
  4. Step 4: Simplify right side
    505.22x = 298,596.22
  5. Step 5: Solve for x
    x = 298,596.22/505.22
  6. Step 6: Final answer
    x = 591.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.