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Finding the Fourth Proportional to 588.42, 878.27 and 519.23

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Solution

The fourth proportional to 588.42, 878.27 and 519.23 is: 774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.42 : 878.27 = 519.23 : x
  2. Step 2: Convert to fraction form
    588.42/878.27 = 519.23/x
  3. Step 3: Cross multiply
    588.42x = 878.27 × 519.23
  4. Step 4: Simplify right side
    588.42x = 456,017.14
  5. Step 5: Solve for x
    x = 456,017.14/588.42
  6. Step 6: Final answer
    x = 774.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.