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Finding the Fourth Proportional to 412.44, 621.84 and 378.42

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Solution

The fourth proportional to 412.44, 621.84 and 378.42 is: 570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.44 : 621.84 = 378.42 : x
  2. Step 2: Convert to fraction form
    412.44/621.84 = 378.42/x
  3. Step 3: Cross multiply
    412.44x = 621.84 × 378.42
  4. Step 4: Simplify right side
    412.44x = 235,316.69
  5. Step 5: Solve for x
    x = 235,316.69/412.44
  6. Step 6: Final answer
    x = 570.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.