Home / 1,031.25-1,546.71-414.80

Finding the Fourth Proportional to 1,031.25, 1,546.71 and 414.80

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Solution

The fourth proportional to 1,031.25, 1,546.71 and 414.80 is: 622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.25 : 1,546.71 = 414.80 : x
  2. Step 2: Convert to fraction form
    1,031.25/1,546.71 = 414.80/x
  3. Step 3: Cross multiply
    1,031.25x = 1,546.71 × 414.80
  4. Step 4: Simplify right side
    1,031.25x = 641,567.57
  5. Step 5: Solve for x
    x = 641,567.57/1,031.25
  6. Step 6: Final answer
    x = 622.13

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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.