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Finding the Fourth Proportional to 2,270.07, 3,405.11 and 626.58

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Solution

The fourth proportional to 2,270.07, 3,405.11 and 626.58 is: 939.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.07 : 3,405.11 = 626.58 : x
  2. Step 2: Convert to fraction form
    2,270.07/3,405.11 = 626.58/x
  3. Step 3: Cross multiply
    2,270.07x = 3,405.11 × 626.58
  4. Step 4: Simplify right side
    2,270.07x = 2,133,553.67
  5. Step 5: Solve for x
    x = 2,133,553.67/2,270.07
  6. Step 6: Final answer
    x = 939.86

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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.