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Finding the Fourth Proportional to 632.90, 873.83 and 396.94

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Solution

The fourth proportional to 632.90, 873.83 and 396.94 is: 548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.90 : 873.83 = 396.94 : x
  2. Step 2: Convert to fraction form
    632.90/873.83 = 396.94/x
  3. Step 3: Cross multiply
    632.90x = 873.83 × 396.94
  4. Step 4: Simplify right side
    632.90x = 346,856.10
  5. Step 5: Solve for x
    x = 346,856.10/632.90
  6. Step 6: Final answer
    x = 548.05

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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.