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Finding the Fourth Proportional to 557.41, 769.82 and 496.33

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Solution

The fourth proportional to 557.41, 769.82 and 496.33 is: 685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.41 : 769.82 = 496.33 : x
  2. Step 2: Convert to fraction form
    557.41/769.82 = 496.33/x
  3. Step 3: Cross multiply
    557.41x = 769.82 × 496.33
  4. Step 4: Simplify right side
    557.41x = 382,084.76
  5. Step 5: Solve for x
    x = 382,084.76/557.41
  6. Step 6: Final answer
    x = 685.46

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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.