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Finding the Fourth Proportional to 1,096.84, 1,636.77 and 980.02

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Solution

The fourth proportional to 1,096.84, 1,636.77 and 980.02 is: 1,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.84 : 1,636.77 = 980.02 : x
  2. Step 2: Convert to fraction form
    1,096.84/1,636.77 = 980.02/x
  3. Step 3: Cross multiply
    1,096.84x = 1,636.77 × 980.02
  4. Step 4: Simplify right side
    1,096.84x = 1,604,063.85
  5. Step 5: Solve for x
    x = 1,604,063.85/1,096.84
  6. Step 6: Final answer
    x = 1,462.44

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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.