Home / 1,505.16-2,257.83-409.59

Finding the Fourth Proportional to 1,505.16, 2,257.83 and 409.59

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Solution

The fourth proportional to 1,505.16, 2,257.83 and 409.59 is: 614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.16 : 2,257.83 = 409.59 : x
  2. Step 2: Convert to fraction form
    1,505.16/2,257.83 = 409.59/x
  3. Step 3: Cross multiply
    1,505.16x = 2,257.83 × 409.59
  4. Step 4: Simplify right side
    1,505.16x = 924,784.59
  5. Step 5: Solve for x
    x = 924,784.59/1,505.16
  6. Step 6: Final answer
    x = 614.41

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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.