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Finding the Fourth Proportional to 2,576.30, 3,864.43 and 628.49

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Solution

The fourth proportional to 2,576.30, 3,864.43 and 628.49 is: 942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.30 : 3,864.43 = 628.49 : x
  2. Step 2: Convert to fraction form
    2,576.30/3,864.43 = 628.49/x
  3. Step 3: Cross multiply
    2,576.30x = 3,864.43 × 628.49
  4. Step 4: Simplify right side
    2,576.30x = 2,428,766.06
  5. Step 5: Solve for x
    x = 2,428,766.06/2,576.30
  6. Step 6: Final answer
    x = 942.74

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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.