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Finding the Fourth Proportional to 505.83, 697.97 and 295.98

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Solution

The fourth proportional to 505.83, 697.97 and 295.98 is: 408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.83 : 697.97 = 295.98 : x
  2. Step 2: Convert to fraction form
    505.83/697.97 = 295.98/x
  3. Step 3: Cross multiply
    505.83x = 697.97 × 295.98
  4. Step 4: Simplify right side
    505.83x = 206,585.16
  5. Step 5: Solve for x
    x = 206,585.16/505.83
  6. Step 6: Final answer
    x = 408.41

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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.