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Finding the Fourth Proportional to 505.65, 698.04 and 319.23

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Solution

The fourth proportional to 505.65, 698.04 and 319.23 is: 440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.65 : 698.04 = 319.23 : x
  2. Step 2: Convert to fraction form
    505.65/698.04 = 319.23/x
  3. Step 3: Cross multiply
    505.65x = 698.04 × 319.23
  4. Step 4: Simplify right side
    505.65x = 222,835.31
  5. Step 5: Solve for x
    x = 222,835.31/505.65
  6. Step 6: Final answer
    x = 440.69

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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.