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Finding the Fourth Proportional to 557.16, 834.60 and 441.79

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Solution

The fourth proportional to 557.16, 834.60 and 441.79 is: 661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.16 : 834.60 = 441.79 : x
  2. Step 2: Convert to fraction form
    557.16/834.60 = 441.79/x
  3. Step 3: Cross multiply
    557.16x = 834.60 × 441.79
  4. Step 4: Simplify right side
    557.16x = 368,717.93
  5. Step 5: Solve for x
    x = 368,717.93/557.16
  6. Step 6: Final answer
    x = 661.78

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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.