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Finding the Fourth Proportional to 677.84, 935.42 and 428.90

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Solution

The fourth proportional to 677.84, 935.42 and 428.90 is: 591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.84 : 935.42 = 428.90 : x
  2. Step 2: Convert to fraction form
    677.84/935.42 = 428.90/x
  3. Step 3: Cross multiply
    677.84x = 935.42 × 428.90
  4. Step 4: Simplify right side
    677.84x = 401,194.82
  5. Step 5: Solve for x
    x = 401,194.82/677.84
  6. Step 6: Final answer
    x = 591.88

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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.