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Finding the Fourth Proportional to 505.96, 697.89 and 319.29

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Solution

The fourth proportional to 505.96, 697.89 and 319.29 is: 440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.96 : 697.89 = 319.29 : x
  2. Step 2: Convert to fraction form
    505.96/697.89 = 319.29/x
  3. Step 3: Cross multiply
    505.96x = 697.89 × 319.29
  4. Step 4: Simplify right side
    505.96x = 222,831.07
  5. Step 5: Solve for x
    x = 222,831.07/505.96
  6. Step 6: Final answer
    x = 440.41

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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.