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Finding the Fourth Proportional to 2,576.35, 3,864.47 and 628.55

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Solution

The fourth proportional to 2,576.35, 3,864.47 and 628.55 is: 942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.35 : 3,864.47 = 628.55 : x
  2. Step 2: Convert to fraction form
    2,576.35/3,864.47 = 628.55/x
  3. Step 3: Cross multiply
    2,576.35x = 3,864.47 × 628.55
  4. Step 4: Simplify right side
    2,576.35x = 2,429,014.19
  5. Step 5: Solve for x
    x = 2,429,014.19/2,576.35
  6. Step 6: Final answer
    x = 942.81

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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.