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Finding the Fourth Proportional to 979.06, 1,468.73 and 285.79

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Solution

The fourth proportional to 979.06, 1,468.73 and 285.79 is: 428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.06 : 1,468.73 = 285.79 : x
  2. Step 2: Convert to fraction form
    979.06/1,468.73 = 285.79/x
  3. Step 3: Cross multiply
    979.06x = 1,468.73 × 285.79
  4. Step 4: Simplify right side
    979.06x = 419,750.21
  5. Step 5: Solve for x
    x = 419,750.21/979.06
  6. Step 6: Final answer
    x = 428.73

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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.