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Finding the Fourth Proportional to 933.18, 1,286.29 and 634.34

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Solution

The fourth proportional to 933.18, 1,286.29 and 634.34 is: 874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.18 : 1,286.29 = 634.34 : x
  2. Step 2: Convert to fraction form
    933.18/1,286.29 = 634.34/x
  3. Step 3: Cross multiply
    933.18x = 1,286.29 × 634.34
  4. Step 4: Simplify right side
    933.18x = 815,945.20
  5. Step 5: Solve for x
    x = 815,945.20/933.18
  6. Step 6: Final answer
    x = 874.37

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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.