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Finding the Fourth Proportional to 676.57, 934.01 and 428.15

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Solution

The fourth proportional to 676.57, 934.01 and 428.15 is: 591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.57 : 934.01 = 428.15 : x
  2. Step 2: Convert to fraction form
    676.57/934.01 = 428.15/x
  3. Step 3: Cross multiply
    676.57x = 934.01 × 428.15
  4. Step 4: Simplify right side
    676.57x = 399,896.38
  5. Step 5: Solve for x
    x = 399,896.38/676.57
  6. Step 6: Final answer
    x = 591.06

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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.