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Finding the Fourth Proportional to 499.03, 747.43 and 463.79

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Solution

The fourth proportional to 499.03, 747.43 and 463.79 is: 694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.03 : 747.43 = 463.79 : x
  2. Step 2: Convert to fraction form
    499.03/747.43 = 463.79/x
  3. Step 3: Cross multiply
    499.03x = 747.43 × 463.79
  4. Step 4: Simplify right side
    499.03x = 346,651.27
  5. Step 5: Solve for x
    x = 346,651.27/499.03
  6. Step 6: Final answer
    x = 694.65

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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.