Home / 1,282.82-1,923.87-502.66

Finding the Fourth Proportional to 1,282.82, 1,923.87 and 502.66

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Solution

The fourth proportional to 1,282.82, 1,923.87 and 502.66 is: 753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.82 : 1,923.87 = 502.66 : x
  2. Step 2: Convert to fraction form
    1,282.82/1,923.87 = 502.66/x
  3. Step 3: Cross multiply
    1,282.82x = 1,923.87 × 502.66
  4. Step 4: Simplify right side
    1,282.82x = 967,052.49
  5. Step 5: Solve for x
    x = 967,052.49/1,282.82
  6. Step 6: Final answer
    x = 753.85

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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.