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Finding the Fourth Proportional to 416.81, 622.54 and 393.12

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Solution

The fourth proportional to 416.81, 622.54 and 393.12 is: 587.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.81 : 622.54 = 393.12 : x
  2. Step 2: Convert to fraction form
    416.81/622.54 = 393.12/x
  3. Step 3: Cross multiply
    416.81x = 622.54 × 393.12
  4. Step 4: Simplify right side
    416.81x = 244,733.42
  5. Step 5: Solve for x
    x = 244,733.42/416.81
  6. Step 6: Final answer
    x = 587.15

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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.