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Finding the Fourth Proportional to 464.09, 691.28 and 443.03

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Solution

The fourth proportional to 464.09, 691.28 and 443.03 is: 659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.09 : 691.28 = 443.03 : x
  2. Step 2: Convert to fraction form
    464.09/691.28 = 443.03/x
  3. Step 3: Cross multiply
    464.09x = 691.28 × 443.03
  4. Step 4: Simplify right side
    464.09x = 306,252.11
  5. Step 5: Solve for x
    x = 306,252.11/464.09
  6. Step 6: Final answer
    x = 659.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.