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Finding the Fourth Proportional to 579.13, 869 and 577.32

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Solution

The fourth proportional to 579.13, 869 and 577.32 is: 866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.13 : 869 = 577.32 : x
  2. Step 2: Convert to fraction form
    579.13/869 = 577.32/x
  3. Step 3: Cross multiply
    579.13x = 869 × 577.32
  4. Step 4: Simplify right side
    579.13x = 501,691.08
  5. Step 5: Solve for x
    x = 501,691.08/579.13
  6. Step 6: Final answer
    x = 866.28

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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.