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Finding the Fourth Proportional to 965.18, 1,450.08 and 912.74

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Solution

The fourth proportional to 965.18, 1,450.08 and 912.74 is: 1,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.18 : 1,450.08 = 912.74 : x
  2. Step 2: Convert to fraction form
    965.18/1,450.08 = 912.74/x
  3. Step 3: Cross multiply
    965.18x = 1,450.08 × 912.74
  4. Step 4: Simplify right side
    965.18x = 1,323,546.02
  5. Step 5: Solve for x
    x = 1,323,546.02/965.18
  6. Step 6: Final answer
    x = 1,371.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.