Home / 1,283.04-1,923.84-633.12

Finding the Fourth Proportional to 1,283.04, 1,923.84 and 633.12

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Solution

The fourth proportional to 1,283.04, 1,923.84 and 633.12 is: 949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.04 : 1,923.84 = 633.12 : x
  2. Step 2: Convert to fraction form
    1,283.04/1,923.84 = 633.12/x
  3. Step 3: Cross multiply
    1,283.04x = 1,923.84 × 633.12
  4. Step 4: Simplify right side
    1,283.04x = 1,218,021.58
  5. Step 5: Solve for x
    x = 1,218,021.58/1,283.04
  6. Step 6: Final answer
    x = 949.32

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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.