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Finding the Fourth Proportional to 487.96, 735.20 and 441.74

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Solution

The fourth proportional to 487.96, 735.20 and 441.74 is: 665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.96 : 735.20 = 441.74 : x
  2. Step 2: Convert to fraction form
    487.96/735.20 = 441.74/x
  3. Step 3: Cross multiply
    487.96x = 735.20 × 441.74
  4. Step 4: Simplify right side
    487.96x = 324,767.25
  5. Step 5: Solve for x
    x = 324,767.25/487.96
  6. Step 6: Final answer
    x = 665.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.