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Finding the Fourth Proportional to 893.99, 1,231.16 and 874.91

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Solution

The fourth proportional to 893.99, 1,231.16 and 874.91 is: 1,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.99 : 1,231.16 = 874.91 : x
  2. Step 2: Convert to fraction form
    893.99/1,231.16 = 874.91/x
  3. Step 3: Cross multiply
    893.99x = 1,231.16 × 874.91
  4. Step 4: Simplify right side
    893.99x = 1,077,152.90
  5. Step 5: Solve for x
    x = 1,077,152.90/893.99
  6. Step 6: Final answer
    x = 1,204.88

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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.