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Finding the Fourth Proportional to 676.88, 933.73 and 428.11

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Solution

The fourth proportional to 676.88, 933.73 and 428.11 is: 590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.88 : 933.73 = 428.11 : x
  2. Step 2: Convert to fraction form
    676.88/933.73 = 428.11/x
  3. Step 3: Cross multiply
    676.88x = 933.73 × 428.11
  4. Step 4: Simplify right side
    676.88x = 399,735.75
  5. Step 5: Solve for x
    x = 399,735.75/676.88
  6. Step 6: Final answer
    x = 590.56

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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.