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Finding the Fourth Proportional to 893.56, 1,338.47 and 567.31

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Solution

The fourth proportional to 893.56, 1,338.47 and 567.31 is: 849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.56 : 1,338.47 = 567.31 : x
  2. Step 2: Convert to fraction form
    893.56/1,338.47 = 567.31/x
  3. Step 3: Cross multiply
    893.56x = 1,338.47 × 567.31
  4. Step 4: Simplify right side
    893.56x = 759,327.42
  5. Step 5: Solve for x
    x = 759,327.42/893.56
  6. Step 6: Final answer
    x = 849.78

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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.