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Finding the Fourth Proportional to 720.99, 1,080.45 and 396.63

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Solution

The fourth proportional to 720.99, 1,080.45 and 396.63 is: 594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.99 : 1,080.45 = 396.63 : x
  2. Step 2: Convert to fraction form
    720.99/1,080.45 = 396.63/x
  3. Step 3: Cross multiply
    720.99x = 1,080.45 × 396.63
  4. Step 4: Simplify right side
    720.99x = 428,538.88
  5. Step 5: Solve for x
    x = 428,538.88/720.99
  6. Step 6: Final answer
    x = 594.38

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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.