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Finding the Fourth Proportional to 499.20, 747.46 and 470.45

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Solution

The fourth proportional to 499.20, 747.46 and 470.45 is: 704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.20 : 747.46 = 470.45 : x
  2. Step 2: Convert to fraction form
    499.20/747.46 = 470.45/x
  3. Step 3: Cross multiply
    499.20x = 747.46 × 470.45
  4. Step 4: Simplify right side
    499.20x = 351,642.56
  5. Step 5: Solve for x
    x = 351,642.56/499.20
  6. Step 6: Final answer
    x = 704.41

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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.