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Finding the Fourth Proportional to 662.40, 913.44 and 538.56

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Solution

The fourth proportional to 662.40, 913.44 and 538.56 is: 742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.40 : 913.44 = 538.56 : x
  2. Step 2: Convert to fraction form
    662.40/913.44 = 538.56/x
  3. Step 3: Cross multiply
    662.40x = 913.44 × 538.56
  4. Step 4: Simplify right side
    662.40x = 491,942.25
  5. Step 5: Solve for x
    x = 491,942.25/662.40
  6. Step 6: Final answer
    x = 742.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.