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Finding the Fourth Proportional to 622.94, 859.94 and 401.85

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Solution

The fourth proportional to 622.94, 859.94 and 401.85 is: 554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.94 : 859.94 = 401.85 : x
  2. Step 2: Convert to fraction form
    622.94/859.94 = 401.85/x
  3. Step 3: Cross multiply
    622.94x = 859.94 × 401.85
  4. Step 4: Simplify right side
    622.94x = 345,566.89
  5. Step 5: Solve for x
    x = 345,566.89/622.94
  6. Step 6: Final answer
    x = 554.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.