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Finding the Fourth Proportional to 629.90, 869.48 and 455.34

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Solution

The fourth proportional to 629.90, 869.48 and 455.34 is: 628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.90 : 869.48 = 455.34 : x
  2. Step 2: Convert to fraction form
    629.90/869.48 = 455.34/x
  3. Step 3: Cross multiply
    629.90x = 869.48 × 455.34
  4. Step 4: Simplify right side
    629.90x = 395,909.02
  5. Step 5: Solve for x
    x = 395,909.02/629.90
  6. Step 6: Final answer
    x = 628.53

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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.