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Finding the Fourth Proportional to 579.51, 871.29 and 459.27

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Solution

The fourth proportional to 579.51, 871.29 and 459.27 is: 690.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.51 : 871.29 = 459.27 : x
  2. Step 2: Convert to fraction form
    579.51/871.29 = 459.27/x
  3. Step 3: Cross multiply
    579.51x = 871.29 × 459.27
  4. Step 4: Simplify right side
    579.51x = 400,157.36
  5. Step 5: Solve for x
    x = 400,157.36/579.51
  6. Step 6: Final answer
    x = 690.51

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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.