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Finding the Fourth Proportional to 628.82, 868.01 and 419.18

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Solution

The fourth proportional to 628.82, 868.01 and 419.18 is: 578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.82 : 868.01 = 419.18 : x
  2. Step 2: Convert to fraction form
    628.82/868.01 = 419.18/x
  3. Step 3: Cross multiply
    628.82x = 868.01 × 419.18
  4. Step 4: Simplify right side
    628.82x = 363,852.43
  5. Step 5: Solve for x
    x = 363,852.43/628.82
  6. Step 6: Final answer
    x = 578.63

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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.