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Finding the Fourth Proportional to 569.75, 789.84 and 538.57

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Solution

The fourth proportional to 569.75, 789.84 and 538.57 is: 746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.75 : 789.84 = 538.57 : x
  2. Step 2: Convert to fraction form
    569.75/789.84 = 538.57/x
  3. Step 3: Cross multiply
    569.75x = 789.84 × 538.57
  4. Step 4: Simplify right side
    569.75x = 425,377.49
  5. Step 5: Solve for x
    x = 425,377.49/569.75
  6. Step 6: Final answer
    x = 746.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.