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Finding the Fourth Proportional to 628.44, 941.45 and 465.63

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Solution

The fourth proportional to 628.44, 941.45 and 465.63 is: 697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.44 : 941.45 = 465.63 : x
  2. Step 2: Convert to fraction form
    628.44/941.45 = 465.63/x
  3. Step 3: Cross multiply
    628.44x = 941.45 × 465.63
  4. Step 4: Simplify right side
    628.44x = 438,365.04
  5. Step 5: Solve for x
    x = 438,365.04/628.44
  6. Step 6: Final answer
    x = 697.54

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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.