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Finding the Fourth Proportional to 632.85, 872.77 and 396.83

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Solution

The fourth proportional to 632.85, 872.77 and 396.83 is: 547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.85 : 872.77 = 396.83 : x
  2. Step 2: Convert to fraction form
    632.85/872.77 = 396.83/x
  3. Step 3: Cross multiply
    632.85x = 872.77 × 396.83
  4. Step 4: Simplify right side
    632.85x = 346,337.23
  5. Step 5: Solve for x
    x = 346,337.23/632.85
  6. Step 6: Final answer
    x = 547.27

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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.