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Finding the Fourth Proportional to 568.50, 784.47 and 319.74

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Solution

The fourth proportional to 568.50, 784.47 and 319.74 is: 441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.50 : 784.47 = 319.74 : x
  2. Step 2: Convert to fraction form
    568.50/784.47 = 319.74/x
  3. Step 3: Cross multiply
    568.50x = 784.47 × 319.74
  4. Step 4: Simplify right side
    568.50x = 250,826.44
  5. Step 5: Solve for x
    x = 250,826.44/568.50
  6. Step 6: Final answer
    x = 441.21

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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.