Home / 1,031.21-1,546.91-414.58

Finding the Fourth Proportional to 1,031.21, 1,546.91 and 414.58

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Solution

The fourth proportional to 1,031.21, 1,546.91 and 414.58 is: 621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.21 : 1,546.91 = 414.58 : x
  2. Step 2: Convert to fraction form
    1,031.21/1,546.91 = 414.58/x
  3. Step 3: Cross multiply
    1,031.21x = 1,546.91 × 414.58
  4. Step 4: Simplify right side
    1,031.21x = 641,315.12
  5. Step 5: Solve for x
    x = 641,315.12/1,031.21
  6. Step 6: Final answer
    x = 621.90

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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.