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Finding the Fourth Proportional to 622.26, 858.66 and 356.67

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Solution

The fourth proportional to 622.26, 858.66 and 356.67 is: 492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.26 : 858.66 = 356.67 : x
  2. Step 2: Convert to fraction form
    622.26/858.66 = 356.67/x
  3. Step 3: Cross multiply
    622.26x = 858.66 × 356.67
  4. Step 4: Simplify right side
    622.26x = 306,258.26
  5. Step 5: Solve for x
    x = 306,258.26/622.26
  6. Step 6: Final answer
    x = 492.17

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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.