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Finding the Fourth Proportional to 423.23, 582.39 and 374.22

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Solution

The fourth proportional to 423.23, 582.39 and 374.22 is: 514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.23 : 582.39 = 374.22 : x
  2. Step 2: Convert to fraction form
    423.23/582.39 = 374.22/x
  3. Step 3: Cross multiply
    423.23x = 582.39 × 374.22
  4. Step 4: Simplify right side
    423.23x = 217,941.99
  5. Step 5: Solve for x
    x = 217,941.99/423.23
  6. Step 6: Final answer
    x = 514.96

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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.