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Finding the Fourth Proportional to 964.49, 1,447.19 and 477.43

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Solution

The fourth proportional to 964.49, 1,447.19 and 477.43 is: 716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.49 : 1,447.19 = 477.43 : x
  2. Step 2: Convert to fraction form
    964.49/1,447.19 = 477.43/x
  3. Step 3: Cross multiply
    964.49x = 1,447.19 × 477.43
  4. Step 4: Simplify right side
    964.49x = 690,927.71
  5. Step 5: Solve for x
    x = 690,927.71/964.49
  6. Step 6: Final answer
    x = 716.37

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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.