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Finding the Fourth Proportional to 458.58, 628.71 and 450.39

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Solution

The fourth proportional to 458.58, 628.71 and 450.39 is: 617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.58 : 628.71 = 450.39 : x
  2. Step 2: Convert to fraction form
    458.58/628.71 = 450.39/x
  3. Step 3: Cross multiply
    458.58x = 628.71 × 450.39
  4. Step 4: Simplify right side
    458.58x = 283,164.70
  5. Step 5: Solve for x
    x = 283,164.70/458.58
  6. Step 6: Final answer
    x = 617.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.