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Finding the Fourth Proportional to 632.34, 873.05 and 408.38

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Solution

The fourth proportional to 632.34, 873.05 and 408.38 is: 563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.34 : 873.05 = 408.38 : x
  2. Step 2: Convert to fraction form
    632.34/873.05 = 408.38/x
  3. Step 3: Cross multiply
    632.34x = 873.05 × 408.38
  4. Step 4: Simplify right side
    632.34x = 356,532.15
  5. Step 5: Solve for x
    x = 356,532.15/632.34
  6. Step 6: Final answer
    x = 563.83

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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.