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Finding the Fourth Proportional to 495.56, 683.94 and 377.70

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Solution

The fourth proportional to 495.56, 683.94 and 377.70 is: 521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.56 : 683.94 = 377.70 : x
  2. Step 2: Convert to fraction form
    495.56/683.94 = 377.70/x
  3. Step 3: Cross multiply
    495.56x = 683.94 × 377.70
  4. Step 4: Simplify right side
    495.56x = 258,324.14
  5. Step 5: Solve for x
    x = 258,324.14/495.56
  6. Step 6: Final answer
    x = 521.28

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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.