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Finding the Fourth Proportional to 676.78, 933.86 and 428.00

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Solution

The fourth proportional to 676.78, 933.86 and 428.00 is: 590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.78 : 933.86 = 428.00 : x
  2. Step 2: Convert to fraction form
    676.78/933.86 = 428.00/x
  3. Step 3: Cross multiply
    676.78x = 933.86 × 428.00
  4. Step 4: Simplify right side
    676.78x = 399,688.48
  5. Step 5: Solve for x
    x = 399,688.48/676.78
  6. Step 6: Final answer
    x = 590.58

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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.