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Finding the Fourth Proportional to 952.39, 1,314.20 and 553.98

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Solution

The fourth proportional to 952.39, 1,314.20 and 553.98 is: 764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.39 : 1,314.20 = 553.98 : x
  2. Step 2: Convert to fraction form
    952.39/1,314.20 = 553.98/x
  3. Step 3: Cross multiply
    952.39x = 1,314.20 × 553.98
  4. Step 4: Simplify right side
    952.39x = 728,040.52
  5. Step 5: Solve for x
    x = 728,040.52/952.39
  6. Step 6: Final answer
    x = 764.44

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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.