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Finding the Fourth Proportional to 632.91, 873.40 and 399.81

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Solution

The fourth proportional to 632.91, 873.40 and 399.81 is: 551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.91 : 873.40 = 399.81 : x
  2. Step 2: Convert to fraction form
    632.91/873.40 = 399.81/x
  3. Step 3: Cross multiply
    632.91x = 873.40 × 399.81
  4. Step 4: Simplify right side
    632.91x = 349,194.05
  5. Step 5: Solve for x
    x = 349,194.05/632.91
  6. Step 6: Final answer
    x = 551.73

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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.