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Finding the Fourth Proportional to 579.14, 869.32 and 319.13

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Solution

The fourth proportional to 579.14, 869.32 and 319.13 is: 479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.14 : 869.32 = 319.13 : x
  2. Step 2: Convert to fraction form
    579.14/869.32 = 319.13/x
  3. Step 3: Cross multiply
    579.14x = 869.32 × 319.13
  4. Step 4: Simplify right side
    579.14x = 277,426.09
  5. Step 5: Solve for x
    x = 277,426.09/579.14
  6. Step 6: Final answer
    x = 479.03

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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.