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Finding the Fourth Proportional to 2,271.53, 3,407.33 and 628.04

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Solution

The fourth proportional to 2,271.53, 3,407.33 and 628.04 is: 942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.53 : 3,407.33 = 628.04 : x
  2. Step 2: Convert to fraction form
    2,271.53/3,407.33 = 628.04/x
  3. Step 3: Cross multiply
    2,271.53x = 3,407.33 × 628.04
  4. Step 4: Simplify right side
    2,271.53x = 2,139,949.62
  5. Step 5: Solve for x
    x = 2,139,949.62/2,271.53
  6. Step 6: Final answer
    x = 942.07

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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.