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Finding the Fourth Proportional to 965.28, 1,437.68 and 905.34

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Solution

The fourth proportional to 965.28, 1,437.68 and 905.34 is: 1,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.28 : 1,437.68 = 905.34 : x
  2. Step 2: Convert to fraction form
    965.28/1,437.68 = 905.34/x
  3. Step 3: Cross multiply
    965.28x = 1,437.68 × 905.34
  4. Step 4: Simplify right side
    965.28x = 1,301,589.21
  5. Step 5: Solve for x
    x = 1,301,589.21/965.28
  6. Step 6: Final answer
    x = 1,348.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.