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Finding the Fourth Proportional to 495.06, 682.47 and 383.82

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Solution

The fourth proportional to 495.06, 682.47 and 383.82 is: 529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.06 : 682.47 = 383.82 : x
  2. Step 2: Convert to fraction form
    495.06/682.47 = 383.82/x
  3. Step 3: Cross multiply
    495.06x = 682.47 × 383.82
  4. Step 4: Simplify right side
    495.06x = 261,945.64
  5. Step 5: Solve for x
    x = 261,945.64/495.06
  6. Step 6: Final answer
    x = 529.12

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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.