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Finding the Fourth Proportional to 632.90, 873.46 and 396.89

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Solution

The fourth proportional to 632.90, 873.46 and 396.89 is: 547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.90 : 873.46 = 396.89 : x
  2. Step 2: Convert to fraction form
    632.90/873.46 = 396.89/x
  3. Step 3: Cross multiply
    632.90x = 873.46 × 396.89
  4. Step 4: Simplify right side
    632.90x = 346,662.18
  5. Step 5: Solve for x
    x = 346,662.18/632.90
  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.