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Finding the Fourth Proportional to 720.73, 1,081.14 and 464.41

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Solution

The fourth proportional to 720.73, 1,081.14 and 464.41 is: 696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.73 : 1,081.14 = 464.41 : x
  2. Step 2: Convert to fraction form
    720.73/1,081.14 = 464.41/x
  3. Step 3: Cross multiply
    720.73x = 1,081.14 × 464.41
  4. Step 4: Simplify right side
    720.73x = 502,092.23
  5. Step 5: Solve for x
    x = 502,092.23/720.73
  6. Step 6: Final answer
    x = 696.64

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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.