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Finding the Fourth Proportional to 685.64, 945.59 and 475.44

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Solution

The fourth proportional to 685.64, 945.59 and 475.44 is: 655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.64 : 945.59 = 475.44 : x
  2. Step 2: Convert to fraction form
    685.64/945.59 = 475.44/x
  3. Step 3: Cross multiply
    685.64x = 945.59 × 475.44
  4. Step 4: Simplify right side
    685.64x = 449,568.93
  5. Step 5: Solve for x
    x = 449,568.93/685.64
  6. Step 6: Final answer
    x = 655.70

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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.