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Finding the Fourth Proportional to 582.28, 872.22 and 420.28

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Solution

The fourth proportional to 582.28, 872.22 and 420.28 is: 629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.28 : 872.22 = 420.28 : x
  2. Step 2: Convert to fraction form
    582.28/872.22 = 420.28/x
  3. Step 3: Cross multiply
    582.28x = 872.22 × 420.28
  4. Step 4: Simplify right side
    582.28x = 366,576.62
  5. Step 5: Solve for x
    x = 366,576.62/582.28
  6. Step 6: Final answer
    x = 629.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.