Home / 1,031.30-1,546.33-405.85

Finding the Fourth Proportional to 1,031.30, 1,546.33 and 405.85

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Solution

The fourth proportional to 1,031.30, 1,546.33 and 405.85 is: 608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.30 : 1,546.33 = 405.85 : x
  2. Step 2: Convert to fraction form
    1,031.30/1,546.33 = 405.85/x
  3. Step 3: Cross multiply
    1,031.30x = 1,546.33 × 405.85
  4. Step 4: Simplify right side
    1,031.30x = 627,578.95
  5. Step 5: Solve for x
    x = 627,578.95/1,031.30
  6. Step 6: Final answer
    x = 608.53

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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.