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Finding the Fourth Proportional to 456.22, 628.77 and 345.43

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Solution

The fourth proportional to 456.22, 628.77 and 345.43 is: 476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.22 : 628.77 = 345.43 : x
  2. Step 2: Convert to fraction form
    456.22/628.77 = 345.43/x
  3. Step 3: Cross multiply
    456.22x = 628.77 × 345.43
  4. Step 4: Simplify right side
    456.22x = 217,196.02
  5. Step 5: Solve for x
    x = 217,196.02/456.22
  6. Step 6: Final answer
    x = 476.08

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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.