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Finding the Fourth Proportional to 632.61, 872.63 and 467.25

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Solution

The fourth proportional to 632.61, 872.63 and 467.25 is: 644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.61 : 872.63 = 467.25 : x
  2. Step 2: Convert to fraction form
    632.61/872.63 = 467.25/x
  3. Step 3: Cross multiply
    632.61x = 872.63 × 467.25
  4. Step 4: Simplify right side
    632.61x = 407,734.03
  5. Step 5: Solve for x
    x = 407,734.03/632.61
  6. Step 6: Final answer
    x = 644.53

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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.