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Finding the Fourth Proportional to 862.75, 1,190.87 and 552.25

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Solution

The fourth proportional to 862.75, 1,190.87 and 552.25 is: 762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.75 : 1,190.87 = 552.25 : x
  2. Step 2: Convert to fraction form
    862.75/1,190.87 = 552.25/x
  3. Step 3: Cross multiply
    862.75x = 1,190.87 × 552.25
  4. Step 4: Simplify right side
    862.75x = 657,657.96
  5. Step 5: Solve for x
    x = 657,657.96/862.75
  6. Step 6: Final answer
    x = 762.28

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.