Home / 1,505.04-2,257.60-409.40

Finding the Fourth Proportional to 1,505.04, 2,257.60 and 409.40

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Solution

The fourth proportional to 1,505.04, 2,257.60 and 409.40 is: 614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.04 : 2,257.60 = 409.40 : x
  2. Step 2: Convert to fraction form
    1,505.04/2,257.60 = 409.40/x
  3. Step 3: Cross multiply
    1,505.04x = 2,257.60 × 409.40
  4. Step 4: Simplify right side
    1,505.04x = 924,261.44
  5. Step 5: Solve for x
    x = 924,261.44/1,505.04
  6. Step 6: Final answer
    x = 614.11

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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.