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Finding the Fourth Proportional to 505.49, 697.66 and 295.79

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Solution

The fourth proportional to 505.49, 697.66 and 295.79 is: 408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.49 : 697.66 = 295.79 : x
  2. Step 2: Convert to fraction form
    505.49/697.66 = 295.79/x
  3. Step 3: Cross multiply
    505.49x = 697.66 × 295.79
  4. Step 4: Simplify right side
    505.49x = 206,356.62
  5. Step 5: Solve for x
    x = 206,356.62/505.49
  6. Step 6: Final answer
    x = 408.23

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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.