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Finding the Fourth Proportional to 979.62, 1,469.84 and 459.24

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Solution

The fourth proportional to 979.62, 1,469.84 and 459.24 is: 689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.62 : 1,469.84 = 459.24 : x
  2. Step 2: Convert to fraction form
    979.62/1,469.84 = 459.24/x
  3. Step 3: Cross multiply
    979.62x = 1,469.84 × 459.24
  4. Step 4: Simplify right side
    979.62x = 675,007.03
  5. Step 5: Solve for x
    x = 675,007.03/979.62
  6. Step 6: Final answer
    x = 689.05

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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.