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Finding the Fourth Proportional to 998.16, 1,377.36 and 666.96

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Solution

The fourth proportional to 998.16, 1,377.36 and 666.96 is: 920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.16 : 1,377.36 = 666.96 : x
  2. Step 2: Convert to fraction form
    998.16/1,377.36 = 666.96/x
  3. Step 3: Cross multiply
    998.16x = 1,377.36 × 666.96
  4. Step 4: Simplify right side
    998.16x = 918,644.03
  5. Step 5: Solve for x
    x = 918,644.03/998.16
  6. Step 6: Final answer
    x = 920.34

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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.