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Finding the Fourth Proportional to 577.92, 792.15 and 569.82

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Solution

The fourth proportional to 577.92, 792.15 and 569.82 is: 781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.92 : 792.15 = 569.82 : x
  2. Step 2: Convert to fraction form
    577.92/792.15 = 569.82/x
  3. Step 3: Cross multiply
    577.92x = 792.15 × 569.82
  4. Step 4: Simplify right side
    577.92x = 451,379.29
  5. Step 5: Solve for x
    x = 451,379.29/577.92
  6. Step 6: Final answer
    x = 781.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.