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Finding the Fourth Proportional to 980, 1,468.56 and 654.56

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Solution

The fourth proportional to 980, 1,468.56 and 654.56 is: 980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    980 : 1,468.56 = 654.56 : x
  2. Step 2: Convert to fraction form
    980/1,468.56 = 654.56/x
  3. Step 3: Cross multiply
    980x = 1,468.56 × 654.56
  4. Step 4: Simplify right side
    980x = 961,260.63
  5. Step 5: Solve for x
    x = 961,260.63/980
  6. Step 6: Final answer
    x = 980.88

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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.