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Finding the Fourth Proportional to 685.89, 946.08 and 475.96

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Solution

The fourth proportional to 685.89, 946.08 and 475.96 is: 656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.89 : 946.08 = 475.96 : x
  2. Step 2: Convert to fraction form
    685.89/946.08 = 475.96/x
  3. Step 3: Cross multiply
    685.89x = 946.08 × 475.96
  4. Step 4: Simplify right side
    685.89x = 450,296.24
  5. Step 5: Solve for x
    x = 450,296.24/685.89
  6. Step 6: Final answer
    x = 656.51

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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.