Home / 1,293.40-1,938.84-513.14

Finding the Fourth Proportional to 1,293.40, 1,938.84 and 513.14

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Solution

The fourth proportional to 1,293.40, 1,938.84 and 513.14 is: 769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.40 : 1,938.84 = 513.14 : x
  2. Step 2: Convert to fraction form
    1,293.40/1,938.84 = 513.14/x
  3. Step 3: Cross multiply
    1,293.40x = 1,938.84 × 513.14
  4. Step 4: Simplify right side
    1,293.40x = 994,903.13
  5. Step 5: Solve for x
    x = 994,903.13/1,293.40
  6. Step 6: Final answer
    x = 769.22

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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.