Home / 1,293.27-1,938.81-513.82

Finding the Fourth Proportional to 1,293.27, 1,938.81 and 513.82

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Solution

The fourth proportional to 1,293.27, 1,938.81 and 513.82 is: 770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.27 : 1,938.81 = 513.82 : x
  2. Step 2: Convert to fraction form
    1,293.27/1,938.81 = 513.82/x
  3. Step 3: Cross multiply
    1,293.27x = 1,938.81 × 513.82
  4. Step 4: Simplify right side
    1,293.27x = 996,199.35
  5. Step 5: Solve for x
    x = 996,199.35/1,293.27
  6. Step 6: Final answer
    x = 770.29

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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.