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Finding the Fourth Proportional to 628.36, 938.68 and 453.64

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Solution

The fourth proportional to 628.36, 938.68 and 453.64 is: 677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.36 : 938.68 = 453.64 : x
  2. Step 2: Convert to fraction form
    628.36/938.68 = 453.64/x
  3. Step 3: Cross multiply
    628.36x = 938.68 × 453.64
  4. Step 4: Simplify right side
    628.36x = 425,822.80
  5. Step 5: Solve for x
    x = 425,822.80/628.36
  6. Step 6: Final answer
    x = 677.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.