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Finding the Fourth Proportional to 632.45, 873.18 and 396.74

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Solution

The fourth proportional to 632.45, 873.18 and 396.74 is: 547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.45 : 873.18 = 396.74 : x
  2. Step 2: Convert to fraction form
    632.45/873.18 = 396.74/x
  3. Step 3: Cross multiply
    632.45x = 873.18 × 396.74
  4. Step 4: Simplify right side
    632.45x = 346,427.62
  5. Step 5: Solve for x
    x = 346,427.62/632.45
  6. Step 6: Final answer
    x = 547.75

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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.