Home / 1,505.08-2,257.44-409.53

Finding the Fourth Proportional to 1,505.08, 2,257.44 and 409.53

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Solution

The fourth proportional to 1,505.08, 2,257.44 and 409.53 is: 614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.08 : 2,257.44 = 409.53 : x
  2. Step 2: Convert to fraction form
    1,505.08/2,257.44 = 409.53/x
  3. Step 3: Cross multiply
    1,505.08x = 2,257.44 × 409.53
  4. Step 4: Simplify right side
    1,505.08x = 924,489.40
  5. Step 5: Solve for x
    x = 924,489.40/1,505.08
  6. Step 6: Final answer
    x = 614.25

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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.