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Finding the Fourth Proportional to 610.75, 910.33 and 575.25

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Solution

The fourth proportional to 610.75, 910.33 and 575.25 is: 857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.75 : 910.33 = 575.25 : x
  2. Step 2: Convert to fraction form
    610.75/910.33 = 575.25/x
  3. Step 3: Cross multiply
    610.75x = 910.33 × 575.25
  4. Step 4: Simplify right side
    610.75x = 523,667.33
  5. Step 5: Solve for x
    x = 523,667.33/610.75
  6. Step 6: Final answer
    x = 857.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.