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Finding the Fourth Proportional to 677.71, 934.99 and 428.95

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Solution

The fourth proportional to 677.71, 934.99 and 428.95 is: 591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.71 : 934.99 = 428.95 : x
  2. Step 2: Convert to fraction form
    677.71/934.99 = 428.95/x
  3. Step 3: Cross multiply
    677.71x = 934.99 × 428.95
  4. Step 4: Simplify right side
    677.71x = 401,063.96
  5. Step 5: Solve for x
    x = 401,063.96/677.71
  6. Step 6: Final answer
    x = 591.79

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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.