Home / 1,003.12-1,504.58-272.77

Finding the Fourth Proportional to 1,003.12, 1,504.58 and 272.77

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Solution

The fourth proportional to 1,003.12, 1,504.58 and 272.77 is: 409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.12 : 1,504.58 = 272.77 : x
  2. Step 2: Convert to fraction form
    1,003.12/1,504.58 = 272.77/x
  3. Step 3: Cross multiply
    1,003.12x = 1,504.58 × 272.77
  4. Step 4: Simplify right side
    1,003.12x = 410,399.16
  5. Step 5: Solve for x
    x = 410,399.16/1,003.12
  6. Step 6: Final answer
    x = 409.12

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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.