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Finding the Fourth Proportional to 938.63, 1,407.00 and 451.42

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Solution

The fourth proportional to 938.63, 1,407.00 and 451.42 is: 676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.63 : 1,407.00 = 451.42 : x
  2. Step 2: Convert to fraction form
    938.63/1,407.00 = 451.42/x
  3. Step 3: Cross multiply
    938.63x = 1,407.00 × 451.42
  4. Step 4: Simplify right side
    938.63x = 635,138.65
  5. Step 5: Solve for x
    x = 635,138.65/938.63
  6. Step 6: Final answer
    x = 676.67

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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.