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Finding the Fourth Proportional to 622.25, 858.69 and 356.71

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Solution

The fourth proportional to 622.25, 858.69 and 356.71 is: 492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.25 : 858.69 = 356.71 : x
  2. Step 2: Convert to fraction form
    622.25/858.69 = 356.71/x
  3. Step 3: Cross multiply
    622.25x = 858.69 × 356.71
  4. Step 4: Simplify right side
    622.25x = 306,299.02
  5. Step 5: Solve for x
    x = 306,299.02/622.25
  6. Step 6: Final answer
    x = 492.24

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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.