Home / 1,505.32-2,257.53-409.54

Finding the Fourth Proportional to 1,505.32, 2,257.53 and 409.54

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Solution

The fourth proportional to 1,505.32, 2,257.53 and 409.54 is: 614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.32 : 2,257.53 = 409.54 : x
  2. Step 2: Convert to fraction form
    1,505.32/2,257.53 = 409.54/x
  3. Step 3: Cross multiply
    1,505.32x = 2,257.53 × 409.54
  4. Step 4: Simplify right side
    1,505.32x = 924,552.43
  5. Step 5: Solve for x
    x = 924,552.43/1,505.32
  6. Step 6: Final answer
    x = 614.19

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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.