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Finding the Fourth Proportional to 495.83, 742.01 and 300.72

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Solution

The fourth proportional to 495.83, 742.01 and 300.72 is: 450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.83 : 742.01 = 300.72 : x
  2. Step 2: Convert to fraction form
    495.83/742.01 = 300.72/x
  3. Step 3: Cross multiply
    495.83x = 742.01 × 300.72
  4. Step 4: Simplify right side
    495.83x = 223,137.25
  5. Step 5: Solve for x
    x = 223,137.25/495.83
  6. Step 6: Final answer
    x = 450.03

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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.