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Finding the Fourth Proportional to 465.70, 641.83 and 452.38

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Solution

The fourth proportional to 465.70, 641.83 and 452.38 is: 623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.70 : 641.83 = 452.38 : x
  2. Step 2: Convert to fraction form
    465.70/641.83 = 452.38/x
  3. Step 3: Cross multiply
    465.70x = 641.83 × 452.38
  4. Step 4: Simplify right side
    465.70x = 290,351.06
  5. Step 5: Solve for x
    x = 290,351.06/465.70
  6. Step 6: Final answer
    x = 623.47

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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.