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Finding the Fourth Proportional to 1,227.36, 1,693.62 and 778.68

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Solution

The fourth proportional to 1,227.36, 1,693.62 and 778.68 is: 1,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.36 : 1,693.62 = 778.68 : x
  2. Step 2: Convert to fraction form
    1,227.36/1,693.62 = 778.68/x
  3. Step 3: Cross multiply
    1,227.36x = 1,693.62 × 778.68
  4. Step 4: Simplify right side
    1,227.36x = 1,318,788.02
  5. Step 5: Solve for x
    x = 1,318,788.02/1,227.36
  6. Step 6: Final answer
    x = 1,074.49

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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.