Home / 1,505.20-2,257.52-409.43

Finding the Fourth Proportional to 1,505.20, 2,257.52 and 409.43

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Solution

The fourth proportional to 1,505.20, 2,257.52 and 409.43 is: 614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.20 : 2,257.52 = 409.43 : x
  2. Step 2: Convert to fraction form
    1,505.20/2,257.52 = 409.43/x
  3. Step 3: Cross multiply
    1,505.20x = 2,257.52 × 409.43
  4. Step 4: Simplify right side
    1,505.20x = 924,296.41
  5. Step 5: Solve for x
    x = 924,296.41/1,505.20
  6. Step 6: Final answer
    x = 614.07

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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.