Home / 1,292.85-1,938.31-512.21

Finding the Fourth Proportional to 1,292.85, 1,938.31 and 512.21

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Solution

The fourth proportional to 1,292.85, 1,938.31 and 512.21 is: 767.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.85 : 1,938.31 = 512.21 : x
  2. Step 2: Convert to fraction form
    1,292.85/1,938.31 = 512.21/x
  3. Step 3: Cross multiply
    1,292.85x = 1,938.31 × 512.21
  4. Step 4: Simplify right side
    1,292.85x = 992,825.33
  5. Step 5: Solve for x
    x = 992,825.33/1,292.85
  6. Step 6: Final answer
    x = 767.94

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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.