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Finding the Fourth Proportional to 676.73, 933.88 and 428.15

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Solution

The fourth proportional to 676.73, 933.88 and 428.15 is: 590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.73 : 933.88 = 428.15 : x
  2. Step 2: Convert to fraction form
    676.73/933.88 = 428.15/x
  3. Step 3: Cross multiply
    676.73x = 933.88 × 428.15
  4. Step 4: Simplify right side
    676.73x = 399,841.99
  5. Step 5: Solve for x
    x = 399,841.99/676.73
  6. Step 6: Final answer
    x = 590.85

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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.