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Finding the Fourth Proportional to 964.50, 1,446.44 and 618.22

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Solution

The fourth proportional to 964.50, 1,446.44 and 618.22 is: 927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.50 : 1,446.44 = 618.22 : x
  2. Step 2: Convert to fraction form
    964.50/1,446.44 = 618.22/x
  3. Step 3: Cross multiply
    964.50x = 1,446.44 × 618.22
  4. Step 4: Simplify right side
    964.50x = 894,218.14
  5. Step 5: Solve for x
    x = 894,218.14/964.50
  6. Step 6: Final answer
    x = 927.13

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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.