Home / 1,504.17-2,256.24-408.53

Finding the Fourth Proportional to 1,504.17, 2,256.24 and 408.53

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Solution

The fourth proportional to 1,504.17, 2,256.24 and 408.53 is: 612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.17 : 2,256.24 = 408.53 : x
  2. Step 2: Convert to fraction form
    1,504.17/2,256.24 = 408.53/x
  3. Step 3: Cross multiply
    1,504.17x = 2,256.24 × 408.53
  4. Step 4: Simplify right side
    1,504.17x = 921,741.73
  5. Step 5: Solve for x
    x = 921,741.73/1,504.17
  6. Step 6: Final answer
    x = 612.79

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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.