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Finding the Fourth Proportional to 579.21, 869.40 and 513.75

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Solution

The fourth proportional to 579.21, 869.40 and 513.75 is: 771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.21 : 869.40 = 513.75 : x
  2. Step 2: Convert to fraction form
    579.21/869.40 = 513.75/x
  3. Step 3: Cross multiply
    579.21x = 869.40 × 513.75
  4. Step 4: Simplify right side
    579.21x = 446,652.97
  5. Step 5: Solve for x
    x = 446,652.97/579.21
  6. Step 6: Final answer
    x = 771.14

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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.