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Finding the Fourth Proportional to 494.02, 681.73 and 319.54

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Solution

The fourth proportional to 494.02, 681.73 and 319.54 is: 440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.02 : 681.73 = 319.54 : x
  2. Step 2: Convert to fraction form
    494.02/681.73 = 319.54/x
  3. Step 3: Cross multiply
    494.02x = 681.73 × 319.54
  4. Step 4: Simplify right side
    494.02x = 217,840.00
  5. Step 5: Solve for x
    x = 217,840.00/494.02
  6. Step 6: Final answer
    x = 440.95

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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.