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Finding the Fourth Proportional to 681.52, 939.90 and 448.60

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Solution

The fourth proportional to 681.52, 939.90 and 448.60 is: 618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.52 : 939.90 = 448.60 : x
  2. Step 2: Convert to fraction form
    681.52/939.90 = 448.60/x
  3. Step 3: Cross multiply
    681.52x = 939.90 × 448.60
  4. Step 4: Simplify right side
    681.52x = 421,639.14
  5. Step 5: Solve for x
    x = 421,639.14/681.52
  6. Step 6: Final answer
    x = 618.67

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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.