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Finding the Fourth Proportional to 2,271.65, 3,407.21 and 628.43

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Solution

The fourth proportional to 2,271.65, 3,407.21 and 628.43 is: 942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.65 : 3,407.21 = 628.43 : x
  2. Step 2: Convert to fraction form
    2,271.65/3,407.21 = 628.43/x
  3. Step 3: Cross multiply
    2,271.65x = 3,407.21 × 628.43
  4. Step 4: Simplify right side
    2,271.65x = 2,141,192.98
  5. Step 5: Solve for x
    x = 2,141,192.98/2,271.65
  6. Step 6: Final answer
    x = 942.57

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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.