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Finding the Fourth Proportional to 469.20, 704.63 and 445.28

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Solution

The fourth proportional to 469.20, 704.63 and 445.28 is: 668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.20 : 704.63 = 445.28 : x
  2. Step 2: Convert to fraction form
    469.20/704.63 = 445.28/x
  3. Step 3: Cross multiply
    469.20x = 704.63 × 445.28
  4. Step 4: Simplify right side
    469.20x = 313,755.24
  5. Step 5: Solve for x
    x = 313,755.24/469.20
  6. Step 6: Final answer
    x = 668.70

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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.