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Finding the Fourth Proportional to 965.26, 1,331.40 and 716.80

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Solution

The fourth proportional to 965.26, 1,331.40 and 716.80 is: 988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.26 : 1,331.40 = 716.80 : x
  2. Step 2: Convert to fraction form
    965.26/1,331.40 = 716.80/x
  3. Step 3: Cross multiply
    965.26x = 1,331.40 × 716.80
  4. Step 4: Simplify right side
    965.26x = 954,347.52
  5. Step 5: Solve for x
    x = 954,347.52/965.26
  6. Step 6: Final answer
    x = 988.69

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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.