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Finding the Fourth Proportional to 685.41, 946.31 and 475.53

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Solution

The fourth proportional to 685.41, 946.31 and 475.53 is: 656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.41 : 946.31 = 475.53 : x
  2. Step 2: Convert to fraction form
    685.41/946.31 = 475.53/x
  3. Step 3: Cross multiply
    685.41x = 946.31 × 475.53
  4. Step 4: Simplify right side
    685.41x = 449,996.42
  5. Step 5: Solve for x
    x = 449,996.42/685.41
  6. Step 6: Final answer
    x = 656.54

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1.5x scale

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.