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Finding the Fourth Proportional to 416.60, 628.42 and 394.46

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Solution

The fourth proportional to 416.60, 628.42 and 394.46 is: 595.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.60 : 628.42 = 394.46 : x
  2. Step 2: Convert to fraction form
    416.60/628.42 = 394.46/x
  3. Step 3: Cross multiply
    416.60x = 628.42 × 394.46
  4. Step 4: Simplify right side
    416.60x = 247,886.55
  5. Step 5: Solve for x
    x = 247,886.55/416.60
  6. Step 6: Final answer
    x = 595.02

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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.