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Finding the Fourth Proportional to 2,269.91, 3,405.06 and 626.46

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Solution

The fourth proportional to 2,269.91, 3,405.06 and 626.46 is: 939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.91 : 3,405.06 = 626.46 : x
  2. Step 2: Convert to fraction form
    2,269.91/3,405.06 = 626.46/x
  3. Step 3: Cross multiply
    2,269.91x = 3,405.06 × 626.46
  4. Step 4: Simplify right side
    2,269.91x = 2,133,133.89
  5. Step 5: Solve for x
    x = 2,133,133.89/2,269.91
  6. Step 6: Final answer
    x = 939.74

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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.