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Finding the Fourth Proportional to 569, 784.90 and 394.28

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Solution

The fourth proportional to 569, 784.90 and 394.28 is: 543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    569 : 784.90 = 394.28 : x
  2. Step 2: Convert to fraction form
    569/784.90 = 394.28/x
  3. Step 3: Cross multiply
    569x = 784.90 × 394.28
  4. Step 4: Simplify right side
    569x = 309,470.37
  5. Step 5: Solve for x
    x = 309,470.37/569
  6. Step 6: Final answer
    x = 543.88

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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.