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Finding the Fourth Proportional to 979.84, 1,467.84 and 467.20

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Solution

The fourth proportional to 979.84, 1,467.84 and 467.20 is: 699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.84 : 1,467.84 = 467.20 : x
  2. Step 2: Convert to fraction form
    979.84/1,467.84 = 467.20/x
  3. Step 3: Cross multiply
    979.84x = 1,467.84 × 467.20
  4. Step 4: Simplify right side
    979.84x = 685,774.85
  5. Step 5: Solve for x
    x = 685,774.85/979.84
  6. Step 6: Final answer
    x = 699.88

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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.