Home / 1,283.31-1,923.67-502.24

Finding the Fourth Proportional to 1,283.31, 1,923.67 and 502.24

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Solution

The fourth proportional to 1,283.31, 1,923.67 and 502.24 is: 752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.31 : 1,923.67 = 502.24 : x
  2. Step 2: Convert to fraction form
    1,283.31/1,923.67 = 502.24/x
  3. Step 3: Cross multiply
    1,283.31x = 1,923.67 × 502.24
  4. Step 4: Simplify right side
    1,283.31x = 966,144.02
  5. Step 5: Solve for x
    x = 966,144.02/1,283.31
  6. Step 6: Final answer
    x = 752.85

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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.