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Finding the Fourth Proportional to 499.66, 752.94 and 450.96

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Solution

The fourth proportional to 499.66, 752.94 and 450.96 is: 679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.66 : 752.94 = 450.96 : x
  2. Step 2: Convert to fraction form
    499.66/752.94 = 450.96/x
  3. Step 3: Cross multiply
    499.66x = 752.94 × 450.96
  4. Step 4: Simplify right side
    499.66x = 339,545.82
  5. Step 5: Solve for x
    x = 339,545.82/499.66
  6. Step 6: Final answer
    x = 679.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.