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Finding the Fourth Proportional to 965.14, 1,331.91 and 523.05

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Solution

The fourth proportional to 965.14, 1,331.91 and 523.05 is: 721.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.14 : 1,331.91 = 523.05 : x
  2. Step 2: Convert to fraction form
    965.14/1,331.91 = 523.05/x
  3. Step 3: Cross multiply
    965.14x = 1,331.91 × 523.05
  4. Step 4: Simplify right side
    965.14x = 696,652.07
  5. Step 5: Solve for x
    x = 696,652.07/965.14
  6. Step 6: Final answer
    x = 721.81

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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.