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Finding the Fourth Proportional to 1,217.74, 1,819.61 and 998.50

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Solution

The fourth proportional to 1,217.74, 1,819.61 and 998.50 is: 1,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.74 : 1,819.61 = 998.50 : x
  2. Step 2: Convert to fraction form
    1,217.74/1,819.61 = 998.50/x
  3. Step 3: Cross multiply
    1,217.74x = 1,819.61 × 998.50
  4. Step 4: Simplify right side
    1,217.74x = 1,816,880.59
  5. Step 5: Solve for x
    x = 1,816,880.59/1,217.74
  6. Step 6: Final answer
    x = 1,492.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.