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Finding the Fourth Proportional to 2,470.89, 3,706.20 and 622.00

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Solution

The fourth proportional to 2,470.89, 3,706.20 and 622.00 is: 932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.89 : 3,706.20 = 622.00 : x
  2. Step 2: Convert to fraction form
    2,470.89/3,706.20 = 622.00/x
  3. Step 3: Cross multiply
    2,470.89x = 3,706.20 × 622.00
  4. Step 4: Simplify right side
    2,470.89x = 2,305,261.03
  5. Step 5: Solve for x
    x = 2,305,261.03/2,470.89
  6. Step 6: Final answer
    x = 932.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.