Home / 1,227.25-1,841.69-457.75

Finding the Fourth Proportional to 1,227.25, 1,841.69 and 457.75

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Solution

The fourth proportional to 1,227.25, 1,841.69 and 457.75 is: 686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.25 : 1,841.69 = 457.75 : x
  2. Step 2: Convert to fraction form
    1,227.25/1,841.69 = 457.75/x
  3. Step 3: Cross multiply
    1,227.25x = 1,841.69 × 457.75
  4. Step 4: Simplify right side
    1,227.25x = 843,033.60
  5. Step 5: Solve for x
    x = 843,033.60/1,227.25
  6. Step 6: Final answer
    x = 686.93

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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.