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Finding the Fourth Proportional to 416.46, 622.43 and 383.63

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Solution

The fourth proportional to 416.46, 622.43 and 383.63 is: 573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.46 : 622.43 = 383.63 : x
  2. Step 2: Convert to fraction form
    416.46/622.43 = 383.63/x
  3. Step 3: Cross multiply
    416.46x = 622.43 × 383.63
  4. Step 4: Simplify right side
    416.46x = 238,777.79
  5. Step 5: Solve for x
    x = 238,777.79/416.46
  6. Step 6: Final answer
    x = 573.35

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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.