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Finding the Fourth Proportional to 416.95, 628.51 and 380.50

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Solution

The fourth proportional to 416.95, 628.51 and 380.50 is: 573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.95 : 628.51 = 380.50 : x
  2. Step 2: Convert to fraction form
    416.95/628.51 = 380.50/x
  3. Step 3: Cross multiply
    416.95x = 628.51 × 380.50
  4. Step 4: Simplify right side
    416.95x = 239,146.25
  5. Step 5: Solve for x
    x = 239,146.25/416.95
  6. Step 6: Final answer
    x = 573.56

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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.