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Finding the Fourth Proportional to 998.42, 1,497.26 and 420.98

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Solution

The fourth proportional to 998.42, 1,497.26 and 420.98 is: 631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.42 : 1,497.26 = 420.98 : x
  2. Step 2: Convert to fraction form
    998.42/1,497.26 = 420.98/x
  3. Step 3: Cross multiply
    998.42x = 1,497.26 × 420.98
  4. Step 4: Simplify right side
    998.42x = 630,316.51
  5. Step 5: Solve for x
    x = 630,316.51/998.42
  6. Step 6: Final answer
    x = 631.31

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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.