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Finding the Fourth Proportional to 505.82, 696.66 and 395.66

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Solution

The fourth proportional to 505.82, 696.66 and 395.66 is: 544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.82 : 696.66 = 395.66 : x
  2. Step 2: Convert to fraction form
    505.82/696.66 = 395.66/x
  3. Step 3: Cross multiply
    505.82x = 696.66 × 395.66
  4. Step 4: Simplify right side
    505.82x = 275,640.50
  5. Step 5: Solve for x
    x = 275,640.50/505.82
  6. Step 6: Final answer
    x = 544.94

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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.