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Finding the Fourth Proportional to 998.18, 1,496.69 and 304.65

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Solution

The fourth proportional to 998.18, 1,496.69 and 304.65 is: 456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.18 : 1,496.69 = 304.65 : x
  2. Step 2: Convert to fraction form
    998.18/1,496.69 = 304.65/x
  3. Step 3: Cross multiply
    998.18x = 1,496.69 × 304.65
  4. Step 4: Simplify right side
    998.18x = 455,966.61
  5. Step 5: Solve for x
    x = 455,966.61/998.18
  6. Step 6: Final answer
    x = 456.80

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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.