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Finding the Fourth Proportional to 499.43, 749.14 and 485.76

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Solution

The fourth proportional to 499.43, 749.14 and 485.76 is: 728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.43 : 749.14 = 485.76 : x
  2. Step 2: Convert to fraction form
    499.43/749.14 = 485.76/x
  3. Step 3: Cross multiply
    499.43x = 749.14 × 485.76
  4. Step 4: Simplify right side
    499.43x = 363,902.25
  5. Step 5: Solve for x
    x = 363,902.25/499.43
  6. Step 6: Final answer
    x = 728.64

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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.