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Finding the Fourth Proportional to 557.65, 769.22 and 361.28

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Solution

The fourth proportional to 557.65, 769.22 and 361.28 is: 498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.65 : 769.22 = 361.28 : x
  2. Step 2: Convert to fraction form
    557.65/769.22 = 361.28/x
  3. Step 3: Cross multiply
    557.65x = 769.22 × 361.28
  4. Step 4: Simplify right side
    557.65x = 277,898.15
  5. Step 5: Solve for x
    x = 277,898.15/557.65
  6. Step 6: Final answer
    x = 498.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.