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Finding the Fourth Proportional to 841.84, 1,162.96 and 622

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Solution

The fourth proportional to 841.84, 1,162.96 and 622 is: 859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.84 : 1,162.96 = 622 : x
  2. Step 2: Convert to fraction form
    841.84/1,162.96 = 622/x
  3. Step 3: Cross multiply
    841.84x = 1,162.96 × 622
  4. Step 4: Simplify right side
    841.84x = 723,361.12
  5. Step 5: Solve for x
    x = 723,361.12/841.84
  6. Step 6: Final answer
    x = 859.26

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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.