Home / 1,505.10-2,257.64-409.46

Finding the Fourth Proportional to 1,505.10, 2,257.64 and 409.46

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Solution

The fourth proportional to 1,505.10, 2,257.64 and 409.46 is: 614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.10 : 2,257.64 = 409.46 : x
  2. Step 2: Convert to fraction form
    1,505.10/2,257.64 = 409.46/x
  3. Step 3: Cross multiply
    1,505.10x = 2,257.64 × 409.46
  4. Step 4: Simplify right side
    1,505.10x = 924,399.94
  5. Step 5: Solve for x
    x = 924,399.94/1,505.10
  6. Step 6: Final answer
    x = 614.18

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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.