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Finding the Fourth Proportional to 628.38, 942.57 and 576.54

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Solution

The fourth proportional to 628.38, 942.57 and 576.54 is: 864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.38 : 942.57 = 576.54 : x
  2. Step 2: Convert to fraction form
    628.38/942.57 = 576.54/x
  3. Step 3: Cross multiply
    628.38x = 942.57 × 576.54
  4. Step 4: Simplify right side
    628.38x = 543,429.31
  5. Step 5: Solve for x
    x = 543,429.31/628.38
  6. Step 6: Final answer
    x = 864.81

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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.