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Finding the Fourth Proportional to 998.53, 1,496.89 and 421.09

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Solution

The fourth proportional to 998.53, 1,496.89 and 421.09 is: 631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.53 : 1,496.89 = 421.09 : x
  2. Step 2: Convert to fraction form
    998.53/1,496.89 = 421.09/x
  3. Step 3: Cross multiply
    998.53x = 1,496.89 × 421.09
  4. Step 4: Simplify right side
    998.53x = 630,325.41
  5. Step 5: Solve for x
    x = 630,325.41/998.53
  6. Step 6: Final answer
    x = 631.25

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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.