Home / 1,505.13-2,257.69-409.49

Finding the Fourth Proportional to 1,505.13, 2,257.69 and 409.49

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Solution

The fourth proportional to 1,505.13, 2,257.69 and 409.49 is: 614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.13 : 2,257.69 = 409.49 : x
  2. Step 2: Convert to fraction form
    1,505.13/2,257.69 = 409.49/x
  3. Step 3: Cross multiply
    1,505.13x = 2,257.69 × 409.49
  4. Step 4: Simplify right side
    1,505.13x = 924,506.20
  5. Step 5: Solve for x
    x = 924,506.20/1,505.13
  6. Step 6: Final answer
    x = 614.24

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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.