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Finding the Fourth Proportional to 961.23, 1,318.34 and 921.54

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Solution

The fourth proportional to 961.23, 1,318.34 and 921.54 is: 1,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.23 : 1,318.34 = 921.54 : x
  2. Step 2: Convert to fraction form
    961.23/1,318.34 = 921.54/x
  3. Step 3: Cross multiply
    961.23x = 1,318.34 × 921.54
  4. Step 4: Simplify right side
    961.23x = 1,214,898.44
  5. Step 5: Solve for x
    x = 1,214,898.44/961.23
  6. Step 6: Final answer
    x = 1,263.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.