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Finding the Fourth Proportional to 720.66, 1,080.96 and 446.82

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Solution

The fourth proportional to 720.66, 1,080.96 and 446.82 is: 670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.66 : 1,080.96 = 446.82 : x
  2. Step 2: Convert to fraction form
    720.66/1,080.96 = 446.82/x
  3. Step 3: Cross multiply
    720.66x = 1,080.96 × 446.82
  4. Step 4: Simplify right side
    720.66x = 482,994.55
  5. Step 5: Solve for x
    x = 482,994.55/720.66
  6. Step 6: Final answer
    x = 670.21

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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.