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Finding the Fourth Proportional to 632.31, 872.13 and 419.50

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Solution

The fourth proportional to 632.31, 872.13 and 419.50 is: 578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.31 : 872.13 = 419.50 : x
  2. Step 2: Convert to fraction form
    632.31/872.13 = 419.50/x
  3. Step 3: Cross multiply
    632.31x = 872.13 × 419.50
  4. Step 4: Simplify right side
    632.31x = 365,858.54
  5. Step 5: Solve for x
    x = 365,858.54/632.31
  6. Step 6: Final answer
    x = 578.61

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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.