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Finding the Fourth Proportional to 417, 626.82 and 378.84

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Solution

The fourth proportional to 417, 626.82 and 378.84 is: 569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417 : 626.82 = 378.84 : x
  2. Step 2: Convert to fraction form
    417/626.82 = 378.84/x
  3. Step 3: Cross multiply
    417x = 626.82 × 378.84
  4. Step 4: Simplify right side
    417x = 237,464.49
  5. Step 5: Solve for x
    x = 237,464.49/417
  6. Step 6: Final answer
    x = 569.46

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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.