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Finding the Fourth Proportional to 557.46, 769.28 and 361.17

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Solution

The fourth proportional to 557.46, 769.28 and 361.17 is: 498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.46 : 769.28 = 361.17 : x
  2. Step 2: Convert to fraction form
    557.46/769.28 = 361.17/x
  3. Step 3: Cross multiply
    557.46x = 769.28 × 361.17
  4. Step 4: Simplify right side
    557.46x = 277,839.05
  5. Step 5: Solve for x
    x = 277,839.05/557.46
  6. Step 6: Final answer
    x = 498.40

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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.