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Finding the Fourth Proportional to 495.97, 684.53 and 377.76

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Solution

The fourth proportional to 495.97, 684.53 and 377.76 is: 521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.97 : 684.53 = 377.76 : x
  2. Step 2: Convert to fraction form
    495.97/684.53 = 377.76/x
  3. Step 3: Cross multiply
    495.97x = 684.53 × 377.76
  4. Step 4: Simplify right side
    495.97x = 258,592.27
  5. Step 5: Solve for x
    x = 258,592.27/495.97
  6. Step 6: Final answer
    x = 521.38

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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.