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Finding the Fourth Proportional to 421.52, 629.42 and 383.18

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Solution

The fourth proportional to 421.52, 629.42 and 383.18 is: 572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.52 : 629.42 = 383.18 : x
  2. Step 2: Convert to fraction form
    421.52/629.42 = 383.18/x
  3. Step 3: Cross multiply
    421.52x = 629.42 × 383.18
  4. Step 4: Simplify right side
    421.52x = 241,176.09
  5. Step 5: Solve for x
    x = 241,176.09/421.52
  6. Step 6: Final answer
    x = 572.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.