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Finding the Fourth Proportional to 1,221.98, 1,834.11 and 673.40

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Solution

The fourth proportional to 1,221.98, 1,834.11 and 673.40 is: 1,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.98 : 1,834.11 = 673.40 : x
  2. Step 2: Convert to fraction form
    1,221.98/1,834.11 = 673.40/x
  3. Step 3: Cross multiply
    1,221.98x = 1,834.11 × 673.40
  4. Step 4: Simplify right side
    1,221.98x = 1,235,094.26
  5. Step 5: Solve for x
    x = 1,235,094.26/1,221.98
  6. Step 6: Final answer
    x = 1,010.74

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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.