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Finding the Fourth Proportional to 965.45, 1,450.11 and 576.21

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Solution

The fourth proportional to 965.45, 1,450.11 and 576.21 is: 865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.45 : 1,450.11 = 576.21 : x
  2. Step 2: Convert to fraction form
    965.45/1,450.11 = 576.21/x
  3. Step 3: Cross multiply
    965.45x = 1,450.11 × 576.21
  4. Step 4: Simplify right side
    965.45x = 835,569.32
  5. Step 5: Solve for x
    x = 835,569.32/965.45
  6. Step 6: Final answer
    x = 865.47

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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.