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Finding the Fourth Proportional to 998.50, 1,497.76 and 421.38

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Solution

The fourth proportional to 998.50, 1,497.76 and 421.38 is: 632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.50 : 1,497.76 = 421.38 : x
  2. Step 2: Convert to fraction form
    998.50/1,497.76 = 421.38/x
  3. Step 3: Cross multiply
    998.50x = 1,497.76 × 421.38
  4. Step 4: Simplify right side
    998.50x = 631,126.11
  5. Step 5: Solve for x
    x = 631,126.11/998.50
  6. Step 6: Final answer
    x = 632.07

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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.