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Finding the Fourth Proportional to 979.30, 1,468.72 and 285.82

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Solution

The fourth proportional to 979.30, 1,468.72 and 285.82 is: 428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.30 : 1,468.72 = 285.82 : x
  2. Step 2: Convert to fraction form
    979.30/1,468.72 = 285.82/x
  3. Step 3: Cross multiply
    979.30x = 1,468.72 × 285.82
  4. Step 4: Simplify right side
    979.30x = 419,787.00
  5. Step 5: Solve for x
    x = 419,787.00/979.30
  6. Step 6: Final answer
    x = 428.66

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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.