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Finding the Fourth Proportional to 446.71, 669.75 and 172.57

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Solution

The fourth proportional to 446.71, 669.75 and 172.57 is: 258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.71 : 669.75 = 172.57 : x
  2. Step 2: Convert to fraction form
    446.71/669.75 = 172.57/x
  3. Step 3: Cross multiply
    446.71x = 669.75 × 172.57
  4. Step 4: Simplify right side
    446.71x = 115,578.76
  5. Step 5: Solve for x
    x = 115,578.76/446.71
  6. Step 6: Final answer
    x = 258.73

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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.