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Finding the Fourth Proportional to 632.82, 873.15 and 475.83

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Solution

The fourth proportional to 632.82, 873.15 and 475.83 is: 656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.82 : 873.15 = 475.83 : x
  2. Step 2: Convert to fraction form
    632.82/873.15 = 475.83/x
  3. Step 3: Cross multiply
    632.82x = 873.15 × 475.83
  4. Step 4: Simplify right side
    632.82x = 415,470.96
  5. Step 5: Solve for x
    x = 415,470.96/632.82
  6. Step 6: Final answer
    x = 656.54

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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.