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Finding the Fourth Proportional to 965.75, 1,328.76 and 938.52

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Solution

The fourth proportional to 965.75, 1,328.76 and 938.52 is: 1,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.75 : 1,328.76 = 938.52 : x
  2. Step 2: Convert to fraction form
    965.75/1,328.76 = 938.52/x
  3. Step 3: Cross multiply
    965.75x = 1,328.76 × 938.52
  4. Step 4: Simplify right side
    965.75x = 1,247,067.84
  5. Step 5: Solve for x
    x = 1,247,067.84/965.75
  6. Step 6: Final answer
    x = 1,291.30

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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.