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Finding the Fourth Proportional to 568.42, 784.49 and 319.80

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Solution

The fourth proportional to 568.42, 784.49 and 319.80 is: 441.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.42 : 784.49 = 319.80 : x
  2. Step 2: Convert to fraction form
    568.42/784.49 = 319.80/x
  3. Step 3: Cross multiply
    568.42x = 784.49 × 319.80
  4. Step 4: Simplify right side
    568.42x = 250,876.83
  5. Step 5: Solve for x
    x = 250,876.83/568.42
  6. Step 6: Final answer
    x = 441.36

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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.