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Finding the Fourth Proportional to 662.40, 980.16 and 662.40

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Solution

The fourth proportional to 662.40, 980.16 and 662.40 is: 980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.40 : 980.16 = 662.40 : x
  2. Step 2: Convert to fraction form
    662.40/980.16 = 662.40/x
  3. Step 3: Cross multiply
    662.40x = 980.16 × 662.40
  4. Step 4: Simplify right side
    662.40x = 649,257.98
  5. Step 5: Solve for x
    x = 649,257.98/662.40
  6. Step 6: Final answer
    x = 980.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.