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Finding the Fourth Proportional to 998.65, 1,377.74 and 662.71

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Solution

The fourth proportional to 998.65, 1,377.74 and 662.71 is: 914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.65 : 1,377.74 = 662.71 : x
  2. Step 2: Convert to fraction form
    998.65/1,377.74 = 662.71/x
  3. Step 3: Cross multiply
    998.65x = 1,377.74 × 662.71
  4. Step 4: Simplify right side
    998.65x = 913,045.62
  5. Step 5: Solve for x
    x = 913,045.62/998.65
  6. Step 6: Final answer
    x = 914.28

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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.