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Finding the Fourth Proportional to 685.42, 946.25 and 461.68

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Solution

The fourth proportional to 685.42, 946.25 and 461.68 is: 637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.42 : 946.25 = 461.68 : x
  2. Step 2: Convert to fraction form
    685.42/946.25 = 461.68/x
  3. Step 3: Cross multiply
    685.42x = 946.25 × 461.68
  4. Step 4: Simplify right side
    685.42x = 436,857.66
  5. Step 5: Solve for x
    x = 436,857.66/685.42
  6. Step 6: Final answer
    x = 637.36

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Double scale
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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.