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Finding the Fourth Proportional to 632.85, 873.31 and 353.07

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Solution

The fourth proportional to 632.85, 873.31 and 353.07 is: 487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.85 : 873.31 = 353.07 : x
  2. Step 2: Convert to fraction form
    632.85/873.31 = 353.07/x
  3. Step 3: Cross multiply
    632.85x = 873.31 × 353.07
  4. Step 4: Simplify right side
    632.85x = 308,339.56
  5. Step 5: Solve for x
    x = 308,339.56/632.85
  6. Step 6: Final answer
    x = 487.22

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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.