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Finding the Fourth Proportional to 998.58, 1,378.26 and 667.14

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Solution

The fourth proportional to 998.58, 1,378.26 and 667.14 is: 920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.58 : 1,378.26 = 667.14 : x
  2. Step 2: Convert to fraction form
    998.58/1,378.26 = 667.14/x
  3. Step 3: Cross multiply
    998.58x = 1,378.26 × 667.14
  4. Step 4: Simplify right side
    998.58x = 919,492.38
  5. Step 5: Solve for x
    x = 919,492.38/998.58
  6. Step 6: Final answer
    x = 920.80

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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.