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Finding the Fourth Proportional to 685.96, 946.47 and 475.81

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Solution

The fourth proportional to 685.96, 946.47 and 475.81 is: 656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.96 : 946.47 = 475.81 : x
  2. Step 2: Convert to fraction form
    685.96/946.47 = 475.81/x
  3. Step 3: Cross multiply
    685.96x = 946.47 × 475.81
  4. Step 4: Simplify right side
    685.96x = 450,339.89
  5. Step 5: Solve for x
    x = 450,339.89/685.96
  6. Step 6: Final answer
    x = 656.51

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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.