Home / 1,505.23-2,257.56-409.69

Finding the Fourth Proportional to 1,505.23, 2,257.56 and 409.69

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Solution

The fourth proportional to 1,505.23, 2,257.56 and 409.69 is: 614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.23 : 2,257.56 = 409.69 : x
  2. Step 2: Convert to fraction form
    1,505.23/2,257.56 = 409.69/x
  3. Step 3: Cross multiply
    1,505.23x = 2,257.56 × 409.69
  4. Step 4: Simplify right side
    1,505.23x = 924,899.76
  5. Step 5: Solve for x
    x = 924,899.76/1,505.23
  6. Step 6: Final answer
    x = 614.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.