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Finding the Fourth Proportional to 979.42, 1,468.79 and 285.91

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Solution

The fourth proportional to 979.42, 1,468.79 and 285.91 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.42 : 1,468.79 = 285.91 : x
  2. Step 2: Convert to fraction form
    979.42/1,468.79 = 285.91/x
  3. Step 3: Cross multiply
    979.42x = 1,468.79 × 285.91
  4. Step 4: Simplify right side
    979.42x = 419,941.75
  5. Step 5: Solve for x
    x = 419,941.75/979.42
  6. Step 6: Final answer
    x = 428.77

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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.