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Finding the Fourth Proportional to 998.72, 1,497.24 and 421.52

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Solution

The fourth proportional to 998.72, 1,497.24 and 421.52 is: 631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.72 : 1,497.24 = 421.52 : x
  2. Step 2: Convert to fraction form
    998.72/1,497.24 = 421.52/x
  3. Step 3: Cross multiply
    998.72x = 1,497.24 × 421.52
  4. Step 4: Simplify right side
    998.72x = 631,116.60
  5. Step 5: Solve for x
    x = 631,116.60/998.72
  6. Step 6: Final answer
    x = 631.93

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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.