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Finding the Fourth Proportional to 632.74, 872.95 and 383.88

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Solution

The fourth proportional to 632.74, 872.95 and 383.88 is: 529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.74 : 872.95 = 383.88 : x
  2. Step 2: Convert to fraction form
    632.74/872.95 = 383.88/x
  3. Step 3: Cross multiply
    632.74x = 872.95 × 383.88
  4. Step 4: Simplify right side
    632.74x = 335,108.05
  5. Step 5: Solve for x
    x = 335,108.05/632.74
  6. Step 6: Final answer
    x = 529.61

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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.