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Finding the Fourth Proportional to 569.75, 789.50 and 535.07

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Solution

The fourth proportional to 569.75, 789.50 and 535.07 is: 741.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.75 : 789.50 = 535.07 : x
  2. Step 2: Convert to fraction form
    569.75/789.50 = 535.07/x
  3. Step 3: Cross multiply
    569.75x = 789.50 × 535.07
  4. Step 4: Simplify right side
    569.75x = 422,431.14
  5. Step 5: Solve for x
    x = 422,431.14/569.75
  6. Step 6: Final answer
    x = 741.44

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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.