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Finding the Fourth Proportional to 568.02, 851.16 and 382.23

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Solution

The fourth proportional to 568.02, 851.16 and 382.23 is: 572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.02 : 851.16 = 382.23 : x
  2. Step 2: Convert to fraction form
    568.02/851.16 = 382.23/x
  3. Step 3: Cross multiply
    568.02x = 851.16 × 382.23
  4. Step 4: Simplify right side
    568.02x = 325,342.08
  5. Step 5: Solve for x
    x = 325,342.08/568.02
  6. Step 6: Final answer
    x = 572.77

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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.