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Finding the Fourth Proportional to 1,197.69, 1,654.07 and 978.99

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Solution

The fourth proportional to 1,197.69, 1,654.07 and 978.99 is: 1,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.69 : 1,654.07 = 978.99 : x
  2. Step 2: Convert to fraction form
    1,197.69/1,654.07 = 978.99/x
  3. Step 3: Cross multiply
    1,197.69x = 1,654.07 × 978.99
  4. Step 4: Simplify right side
    1,197.69x = 1,619,313.09
  5. Step 5: Solve for x
    x = 1,619,313.09/1,197.69
  6. Step 6: Final answer
    x = 1,352.03

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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.