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Finding the Fourth Proportional to 874.12, 1,204.43 and 803.38

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Solution

The fourth proportional to 874.12, 1,204.43 and 803.38 is: 1,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.12 : 1,204.43 = 803.38 : x
  2. Step 2: Convert to fraction form
    874.12/1,204.43 = 803.38/x
  3. Step 3: Cross multiply
    874.12x = 1,204.43 × 803.38
  4. Step 4: Simplify right side
    874.12x = 967,608.95
  5. Step 5: Solve for x
    x = 967,608.95/874.12
  6. Step 6: Final answer
    x = 1,106.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.