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Finding the Fourth Proportional to 628.82, 862.36 and 602.54

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Solution

The fourth proportional to 628.82, 862.36 and 602.54 is: 826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.82 : 862.36 = 602.54 : x
  2. Step 2: Convert to fraction form
    628.82/862.36 = 602.54/x
  3. Step 3: Cross multiply
    628.82x = 862.36 × 602.54
  4. Step 4: Simplify right side
    628.82x = 519,606.39
  5. Step 5: Solve for x
    x = 519,606.39/628.82
  6. Step 6: Final answer
    x = 826.32

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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.