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Finding the Fourth Proportional to 487.76, 734.90 and 441.54

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Solution

The fourth proportional to 487.76, 734.90 and 441.54 is: 665.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.76 : 734.90 = 441.54 : x
  2. Step 2: Convert to fraction form
    487.76/734.90 = 441.54/x
  3. Step 3: Cross multiply
    487.76x = 734.90 × 441.54
  4. Step 4: Simplify right side
    487.76x = 324,487.75
  5. Step 5: Solve for x
    x = 324,487.75/487.76
  6. Step 6: Final answer
    x = 665.26

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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.