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Finding the Fourth Proportional to 1,117.45, 1,676.18 and 829.09

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Solution

The fourth proportional to 1,117.45, 1,676.18 and 829.09 is: 1,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.45 : 1,676.18 = 829.09 : x
  2. Step 2: Convert to fraction form
    1,117.45/1,676.18 = 829.09/x
  3. Step 3: Cross multiply
    1,117.45x = 1,676.18 × 829.09
  4. Step 4: Simplify right side
    1,117.45x = 1,389,704.08
  5. Step 5: Solve for x
    x = 1,389,704.08/1,117.45
  6. Step 6: Final answer
    x = 1,243.64

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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.