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Finding the Fourth Proportional to 893.52, 1,238.04 and 874.08

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Solution

The fourth proportional to 893.52, 1,238.04 and 874.08 is: 1,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.52 : 1,238.04 = 874.08 : x
  2. Step 2: Convert to fraction form
    893.52/1,238.04 = 874.08/x
  3. Step 3: Cross multiply
    893.52x = 1,238.04 × 874.08
  4. Step 4: Simplify right side
    893.52x = 1,082,146.00
  5. Step 5: Solve for x
    x = 1,082,146.00/893.52
  6. Step 6: Final answer
    x = 1,211.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.