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Finding the Fourth Proportional to 998.80, 1,498.26 and 305.51

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Solution

The fourth proportional to 998.80, 1,498.26 and 305.51 is: 458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.80 : 1,498.26 = 305.51 : x
  2. Step 2: Convert to fraction form
    998.80/1,498.26 = 305.51/x
  3. Step 3: Cross multiply
    998.80x = 1,498.26 × 305.51
  4. Step 4: Simplify right side
    998.80x = 457,727.07
  5. Step 5: Solve for x
    x = 457,727.07/998.80
  6. Step 6: Final answer
    x = 458.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.