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Finding the Fourth Proportional to 628.78, 942.12 and 491.26

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Solution

The fourth proportional to 628.78, 942.12 and 491.26 is: 736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.78 : 942.12 = 491.26 : x
  2. Step 2: Convert to fraction form
    628.78/942.12 = 491.26/x
  3. Step 3: Cross multiply
    628.78x = 942.12 × 491.26
  4. Step 4: Simplify right side
    628.78x = 462,825.87
  5. Step 5: Solve for x
    x = 462,825.87/628.78
  6. Step 6: Final answer
    x = 736.07

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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.