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Finding the Fourth Proportional to 676.95, 933.78 and 428.09

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Solution

The fourth proportional to 676.95, 933.78 and 428.09 is: 590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.95 : 933.78 = 428.09 : x
  2. Step 2: Convert to fraction form
    676.95/933.78 = 428.09/x
  3. Step 3: Cross multiply
    676.95x = 933.78 × 428.09
  4. Step 4: Simplify right side
    676.95x = 399,737.21
  5. Step 5: Solve for x
    x = 399,737.21/676.95
  6. Step 6: Final answer
    x = 590.50

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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.