Home / 1,293.59-1,939.23-513.07

Finding the Fourth Proportional to 1,293.59, 1,939.23 and 513.07

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Solution

The fourth proportional to 1,293.59, 1,939.23 and 513.07 is: 769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.59 : 1,939.23 = 513.07 : x
  2. Step 2: Convert to fraction form
    1,293.59/1,939.23 = 513.07/x
  3. Step 3: Cross multiply
    1,293.59x = 1,939.23 × 513.07
  4. Step 4: Simplify right side
    1,293.59x = 994,955.89
  5. Step 5: Solve for x
    x = 994,955.89/1,293.59
  6. Step 6: Final answer
    x = 769.14

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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.