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Finding the Fourth Proportional to 496.55, 685.55 and 319.59

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Solution

The fourth proportional to 496.55, 685.55 and 319.59 is: 441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.55 : 685.55 = 319.59 : x
  2. Step 2: Convert to fraction form
    496.55/685.55 = 319.59/x
  3. Step 3: Cross multiply
    496.55x = 685.55 × 319.59
  4. Step 4: Simplify right side
    496.55x = 219,094.92
  5. Step 5: Solve for x
    x = 219,094.92/496.55
  6. Step 6: Final answer
    x = 441.23

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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.