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Finding the Fourth Proportional to 998.87, 1,497.54 and 824.99

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Solution

The fourth proportional to 998.87, 1,497.54 and 824.99 is: 1,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.87 : 1,497.54 = 824.99 : x
  2. Step 2: Convert to fraction form
    998.87/1,497.54 = 824.99/x
  3. Step 3: Cross multiply
    998.87x = 1,497.54 × 824.99
  4. Step 4: Simplify right side
    998.87x = 1,235,455.52
  5. Step 5: Solve for x
    x = 1,235,455.52/998.87
  6. Step 6: Final answer
    x = 1,236.85

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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.