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Finding the Fourth Proportional to 632.24, 872.14 and 383.43

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Solution

The fourth proportional to 632.24, 872.14 and 383.43 is: 528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.24 : 872.14 = 383.43 : x
  2. Step 2: Convert to fraction form
    632.24/872.14 = 383.43/x
  3. Step 3: Cross multiply
    632.24x = 872.14 × 383.43
  4. Step 4: Simplify right side
    632.24x = 334,404.64
  5. Step 5: Solve for x
    x = 334,404.64/632.24
  6. Step 6: Final answer
    x = 528.92

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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.