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Finding the Fourth Proportional to 382.64, 570.88 and 378.56

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Solution

The fourth proportional to 382.64, 570.88 and 378.56 is: 564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.64 : 570.88 = 378.56 : x
  2. Step 2: Convert to fraction form
    382.64/570.88 = 378.56/x
  3. Step 3: Cross multiply
    382.64x = 570.88 × 378.56
  4. Step 4: Simplify right side
    382.64x = 216,112.33
  5. Step 5: Solve for x
    x = 216,112.33/382.64
  6. Step 6: Final answer
    x = 564.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.