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Finding the Fourth Proportional to 622.20, 858.20 and 401.06

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Solution

The fourth proportional to 622.20, 858.20 and 401.06 is: 553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.20 : 858.20 = 401.06 : x
  2. Step 2: Convert to fraction form
    622.20/858.20 = 401.06/x
  3. Step 3: Cross multiply
    622.20x = 858.20 × 401.06
  4. Step 4: Simplify right side
    622.20x = 344,189.69
  5. Step 5: Solve for x
    x = 344,189.69/622.20
  6. Step 6: Final answer
    x = 553.18

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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.