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Finding the Fourth Proportional to 568.94, 852.80 and 385.88

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Solution

The fourth proportional to 568.94, 852.80 and 385.88 is: 578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.94 : 852.80 = 385.88 : x
  2. Step 2: Convert to fraction form
    568.94/852.80 = 385.88/x
  3. Step 3: Cross multiply
    568.94x = 852.80 × 385.88
  4. Step 4: Simplify right side
    568.94x = 329,072.27
  5. Step 5: Solve for x
    x = 329,072.27/568.94
  6. Step 6: Final answer
    x = 578.40

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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.