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Finding the Fourth Proportional to 2,271.49, 3,407.32 and 628.05

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Solution

The fourth proportional to 2,271.49, 3,407.32 and 628.05 is: 942.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.49 : 3,407.32 = 628.05 : x
  2. Step 2: Convert to fraction form
    2,271.49/3,407.32 = 628.05/x
  3. Step 3: Cross multiply
    2,271.49x = 3,407.32 × 628.05
  4. Step 4: Simplify right side
    2,271.49x = 2,139,977.36
  5. Step 5: Solve for x
    x = 2,139,977.36/2,271.49
  6. Step 6: Final answer
    x = 942.10

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1.5x scale

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.