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Finding the Fourth Proportional to 632.20, 872.34 and 383.48

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Solution

The fourth proportional to 632.20, 872.34 and 383.48 is: 529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.20 : 872.34 = 383.48 : x
  2. Step 2: Convert to fraction form
    632.20/872.34 = 383.48/x
  3. Step 3: Cross multiply
    632.20x = 872.34 × 383.48
  4. Step 4: Simplify right side
    632.20x = 334,520.58
  5. Step 5: Solve for x
    x = 334,520.58/632.20
  6. Step 6: Final answer
    x = 529.14

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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.