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Finding the Fourth Proportional to 998.83, 1,378.52 and 684.42

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Solution

The fourth proportional to 998.83, 1,378.52 and 684.42 is: 944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.83 : 1,378.52 = 684.42 : x
  2. Step 2: Convert to fraction form
    998.83/1,378.52 = 684.42/x
  3. Step 3: Cross multiply
    998.83x = 1,378.52 × 684.42
  4. Step 4: Simplify right side
    998.83x = 943,486.66
  5. Step 5: Solve for x
    x = 943,486.66/998.83
  6. Step 6: Final answer
    x = 944.59

Related Problems

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Double scale
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1.5x scale

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.