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Finding the Fourth Proportional to 893.83, 1,235.64 and 812.83

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Solution

The fourth proportional to 893.83, 1,235.64 and 812.83 is: 1,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.83 : 1,235.64 = 812.83 : x
  2. Step 2: Convert to fraction form
    893.83/1,235.64 = 812.83/x
  3. Step 3: Cross multiply
    893.83x = 1,235.64 × 812.83
  4. Step 4: Simplify right side
    893.83x = 1,004,365.26
  5. Step 5: Solve for x
    x = 1,004,365.26/893.83
  6. Step 6: Final answer
    x = 1,123.66

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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.