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Finding the Fourth Proportional to 952.89, 1,427.98 and 563.07

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Solution

The fourth proportional to 952.89, 1,427.98 and 563.07 is: 843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.89 : 1,427.98 = 563.07 : x
  2. Step 2: Convert to fraction form
    952.89/1,427.98 = 563.07/x
  3. Step 3: Cross multiply
    952.89x = 1,427.98 × 563.07
  4. Step 4: Simplify right side
    952.89x = 804,052.70
  5. Step 5: Solve for x
    x = 804,052.70/952.89
  6. Step 6: Final answer
    x = 843.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.