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Finding the Fourth Proportional to 720.54, 1,081.16 and 446.56

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Solution

The fourth proportional to 720.54, 1,081.16 and 446.56 is: 670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.54 : 1,081.16 = 446.56 : x
  2. Step 2: Convert to fraction form
    720.54/1,081.16 = 446.56/x
  3. Step 3: Cross multiply
    720.54x = 1,081.16 × 446.56
  4. Step 4: Simplify right side
    720.54x = 482,801.22
  5. Step 5: Solve for x
    x = 482,801.22/720.54
  6. Step 6: Final answer
    x = 670.05

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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.