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Finding the Fourth Proportional to 628.00, 940.41 and 491.77

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Solution

The fourth proportional to 628.00, 940.41 and 491.77 is: 736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.00 : 940.41 = 491.77 : x
  2. Step 2: Convert to fraction form
    628.00/940.41 = 491.77/x
  3. Step 3: Cross multiply
    628.00x = 940.41 × 491.77
  4. Step 4: Simplify right side
    628.00x = 462,466.60
  5. Step 5: Solve for x
    x = 462,466.60/628.00
  6. Step 6: Final answer
    x = 736.41

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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.