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Finding the Fourth Proportional to 677.34, 934.74 and 366.84

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Solution

The fourth proportional to 677.34, 934.74 and 366.84 is: 506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.34 : 934.74 = 366.84 : x
  2. Step 2: Convert to fraction form
    677.34/934.74 = 366.84/x
  3. Step 3: Cross multiply
    677.34x = 934.74 × 366.84
  4. Step 4: Simplify right side
    677.34x = 342,902.15
  5. Step 5: Solve for x
    x = 342,902.15/677.34
  6. Step 6: Final answer
    x = 506.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.