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Finding the Fourth Proportional to 685.82, 946.74 and 476.70

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Solution

The fourth proportional to 685.82, 946.74 and 476.70 is: 658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.82 : 946.74 = 476.70 : x
  2. Step 2: Convert to fraction form
    685.82/946.74 = 476.70/x
  3. Step 3: Cross multiply
    685.82x = 946.74 × 476.70
  4. Step 4: Simplify right side
    685.82x = 451,310.96
  5. Step 5: Solve for x
    x = 451,310.96/685.82
  6. Step 6: Final answer
    x = 658.06

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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.