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Finding the Fourth Proportional to 656.69, 982.74 and 396.53

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Solution

The fourth proportional to 656.69, 982.74 and 396.53 is: 593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.69 : 982.74 = 396.53 : x
  2. Step 2: Convert to fraction form
    656.69/982.74 = 396.53/x
  3. Step 3: Cross multiply
    656.69x = 982.74 × 396.53
  4. Step 4: Simplify right side
    656.69x = 389,686.15
  5. Step 5: Solve for x
    x = 389,686.15/656.69
  6. Step 6: Final answer
    x = 593.41

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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.