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Finding the Fourth Proportional to 628.02, 940.05 and 431.87

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Solution

The fourth proportional to 628.02, 940.05 and 431.87 is: 646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.02 : 940.05 = 431.87 : x
  2. Step 2: Convert to fraction form
    628.02/940.05 = 431.87/x
  3. Step 3: Cross multiply
    628.02x = 940.05 × 431.87
  4. Step 4: Simplify right side
    628.02x = 405,974.69
  5. Step 5: Solve for x
    x = 405,974.69/628.02
  6. Step 6: Final answer
    x = 646.44

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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.