Home / 1,031.60-1,546.21-414.91

Finding the Fourth Proportional to 1,031.60, 1,546.21 and 414.91

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Solution

The fourth proportional to 1,031.60, 1,546.21 and 414.91 is: 621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.60 : 1,546.21 = 414.91 : x
  2. Step 2: Convert to fraction form
    1,031.60/1,546.21 = 414.91/x
  3. Step 3: Cross multiply
    1,031.60x = 1,546.21 × 414.91
  4. Step 4: Simplify right side
    1,031.60x = 641,530.26
  5. Step 5: Solve for x
    x = 641,530.26/1,031.60
  6. Step 6: Final answer
    x = 621.88

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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.