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Finding the Fourth Proportional to 628.49, 940.05 and 453.20

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Solution

The fourth proportional to 628.49, 940.05 and 453.20 is: 677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.49 : 940.05 = 453.20 : x
  2. Step 2: Convert to fraction form
    628.49/940.05 = 453.20/x
  3. Step 3: Cross multiply
    628.49x = 940.05 × 453.20
  4. Step 4: Simplify right side
    628.49x = 426,024.69
  5. Step 5: Solve for x
    x = 426,024.69/628.49
  6. Step 6: Final answer
    x = 677.85

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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.