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Finding the Fourth Proportional to 443.63, 661.92 and 397.46

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Solution

The fourth proportional to 443.63, 661.92 and 397.46 is: 593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.63 : 661.92 = 397.46 : x
  2. Step 2: Convert to fraction form
    443.63/661.92 = 397.46/x
  3. Step 3: Cross multiply
    443.63x = 661.92 × 397.46
  4. Step 4: Simplify right side
    443.63x = 263,085.40
  5. Step 5: Solve for x
    x = 263,085.40/443.63
  6. Step 6: Final answer
    x = 593.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.