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Finding the Fourth Proportional to 416.34, 622.31 and 375.12

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Solution

The fourth proportional to 416.34, 622.31 and 375.12 is: 560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.34 : 622.31 = 375.12 : x
  2. Step 2: Convert to fraction form
    416.34/622.31 = 375.12/x
  3. Step 3: Cross multiply
    416.34x = 622.31 × 375.12
  4. Step 4: Simplify right side
    416.34x = 233,439.05
  5. Step 5: Solve for x
    x = 233,439.05/416.34
  6. Step 6: Final answer
    x = 560.69

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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.