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Finding the Fourth Proportional to 632.79, 873.05 and 396.95

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Solution

The fourth proportional to 632.79, 873.05 and 396.95 is: 547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.79 : 873.05 = 396.95 : x
  2. Step 2: Convert to fraction form
    632.79/873.05 = 396.95/x
  3. Step 3: Cross multiply
    632.79x = 873.05 × 396.95
  4. Step 4: Simplify right side
    632.79x = 346,550.85
  5. Step 5: Solve for x
    x = 346,550.85/632.79
  6. Step 6: Final answer
    x = 547.66

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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.