Home / 1,505.06-2,257.76-409.43

Finding the Fourth Proportional to 1,505.06, 2,257.76 and 409.43

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Solution

The fourth proportional to 1,505.06, 2,257.76 and 409.43 is: 614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.06 : 2,257.76 = 409.43 : x
  2. Step 2: Convert to fraction form
    1,505.06/2,257.76 = 409.43/x
  3. Step 3: Cross multiply
    1,505.06x = 2,257.76 × 409.43
  4. Step 4: Simplify right side
    1,505.06x = 924,398.27
  5. Step 5: Solve for x
    x = 924,398.27/1,505.06
  6. Step 6: Final answer
    x = 614.20

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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.