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Finding the Fourth Proportional to 495.43, 682.91 and 377.03

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Solution

The fourth proportional to 495.43, 682.91 and 377.03 is: 519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.43 : 682.91 = 377.03 : x
  2. Step 2: Convert to fraction form
    495.43/682.91 = 377.03/x
  3. Step 3: Cross multiply
    495.43x = 682.91 × 377.03
  4. Step 4: Simplify right side
    495.43x = 257,478.99
  5. Step 5: Solve for x
    x = 257,478.99/495.43
  6. Step 6: Final answer
    x = 519.70

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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.