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Finding the Fourth Proportional to 632.68, 873.26 and 396.84

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Solution

The fourth proportional to 632.68, 873.26 and 396.84 is: 547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.68 : 873.26 = 396.84 : x
  2. Step 2: Convert to fraction form
    632.68/873.26 = 396.84/x
  3. Step 3: Cross multiply
    632.68x = 873.26 × 396.84
  4. Step 4: Simplify right side
    632.68x = 346,544.50
  5. Step 5: Solve for x
    x = 346,544.50/632.68
  6. Step 6: Final answer
    x = 547.74

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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.