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Finding the Fourth Proportional to 998.49, 1,378.55 and 684.28

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Solution

The fourth proportional to 998.49, 1,378.55 and 684.28 is: 944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.49 : 1,378.55 = 684.28 : x
  2. Step 2: Convert to fraction form
    998.49/1,378.55 = 684.28/x
  3. Step 3: Cross multiply
    998.49x = 1,378.55 × 684.28
  4. Step 4: Simplify right side
    998.49x = 943,314.19
  5. Step 5: Solve for x
    x = 943,314.19/998.49
  6. Step 6: Final answer
    x = 944.74

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Double scale
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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.