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Finding the Fourth Proportional to 575.80, 789.17 and 569.32

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Solution

The fourth proportional to 575.80, 789.17 and 569.32 is: 780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.80 : 789.17 = 569.32 : x
  2. Step 2: Convert to fraction form
    575.80/789.17 = 569.32/x
  3. Step 3: Cross multiply
    575.80x = 789.17 × 569.32
  4. Step 4: Simplify right side
    575.80x = 449,290.26
  5. Step 5: Solve for x
    x = 449,290.26/575.80
  6. Step 6: Final answer
    x = 780.29

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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.