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Finding the Fourth Proportional to 568.64, 784.69 and 319.97

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Solution

The fourth proportional to 568.64, 784.69 and 319.97 is: 441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.64 : 784.69 = 319.97 : x
  2. Step 2: Convert to fraction form
    568.64/784.69 = 319.97/x
  3. Step 3: Cross multiply
    568.64x = 784.69 × 319.97
  4. Step 4: Simplify right side
    568.64x = 251,072.54
  5. Step 5: Solve for x
    x = 251,072.54/568.64
  6. Step 6: Final answer
    x = 441.54

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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.