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Finding the Fourth Proportional to 495.76, 742.83 and 300.82

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Solution

The fourth proportional to 495.76, 742.83 and 300.82 is: 450.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.76 : 742.83 = 300.82 : x
  2. Step 2: Convert to fraction form
    495.76/742.83 = 300.82/x
  3. Step 3: Cross multiply
    495.76x = 742.83 × 300.82
  4. Step 4: Simplify right side
    495.76x = 223,459.72
  5. Step 5: Solve for x
    x = 223,459.72/495.76
  6. Step 6: Final answer
    x = 450.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.