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Finding the Fourth Proportional to 568.53, 851.42 and 394.70

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Solution

The fourth proportional to 568.53, 851.42 and 394.70 is: 591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.53 : 851.42 = 394.70 : x
  2. Step 2: Convert to fraction form
    568.53/851.42 = 394.70/x
  3. Step 3: Cross multiply
    568.53x = 851.42 × 394.70
  4. Step 4: Simplify right side
    568.53x = 336,055.47
  5. Step 5: Solve for x
    x = 336,055.47/568.53
  6. Step 6: Final answer
    x = 591.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.