Home / 1,631.83-2,447.61-461.78

Finding the Fourth Proportional to 1,631.83, 2,447.61 and 461.78

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Solution

The fourth proportional to 1,631.83, 2,447.61 and 461.78 is: 692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.83 : 2,447.61 = 461.78 : x
  2. Step 2: Convert to fraction form
    1,631.83/2,447.61 = 461.78/x
  3. Step 3: Cross multiply
    1,631.83x = 2,447.61 × 461.78
  4. Step 4: Simplify right side
    1,631.83x = 1,130,257.35
  5. Step 5: Solve for x
    x = 1,130,257.35/1,631.83
  6. Step 6: Final answer
    x = 692.63

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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.