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Finding the Fourth Proportional to 1,283.29, 1,923.72 and 633.31

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Solution

The fourth proportional to 1,283.29, 1,923.72 and 633.31 is: 949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.29 : 1,923.72 = 633.31 : x
  2. Step 2: Convert to fraction form
    1,283.29/1,923.72 = 633.31/x
  3. Step 3: Cross multiply
    1,283.29x = 1,923.72 × 633.31
  4. Step 4: Simplify right side
    1,283.29x = 1,218,311.11
  5. Step 5: Solve for x
    x = 1,218,311.11/1,283.29
  6. Step 6: Final answer
    x = 949.37

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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.