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Finding the Fourth Proportional to 975.31, 1,462.39 and 769.23

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Solution

The fourth proportional to 975.31, 1,462.39 and 769.23 is: 1,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.31 : 1,462.39 = 769.23 : x
  2. Step 2: Convert to fraction form
    975.31/1,462.39 = 769.23/x
  3. Step 3: Cross multiply
    975.31x = 1,462.39 × 769.23
  4. Step 4: Simplify right side
    975.31x = 1,124,912.34
  5. Step 5: Solve for x
    x = 1,124,912.34/975.31
  6. Step 6: Final answer
    x = 1,153.39

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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.