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Finding the Fourth Proportional to 622.46, 857.99 and 423.23

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Solution

The fourth proportional to 622.46, 857.99 and 423.23 is: 583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.46 : 857.99 = 423.23 : x
  2. Step 2: Convert to fraction form
    622.46/857.99 = 423.23/x
  3. Step 3: Cross multiply
    622.46x = 857.99 × 423.23
  4. Step 4: Simplify right side
    622.46x = 363,127.11
  5. Step 5: Solve for x
    x = 363,127.11/622.46
  6. Step 6: Final answer
    x = 583.37

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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.