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Finding the Fourth Proportional to 965.64, 1,331.10 and 712.92

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Solution

The fourth proportional to 965.64, 1,331.10 and 712.92 is: 982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.64 : 1,331.10 = 712.92 : x
  2. Step 2: Convert to fraction form
    965.64/1,331.10 = 712.92/x
  3. Step 3: Cross multiply
    965.64x = 1,331.10 × 712.92
  4. Step 4: Simplify right side
    965.64x = 948,967.81
  5. Step 5: Solve for x
    x = 948,967.81/965.64
  6. Step 6: Final answer
    x = 982.73

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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.