Home / 1,014.24-1,527.30-727.68

Finding the Fourth Proportional to 1,014.24, 1,527.30 and 727.68

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Solution

The fourth proportional to 1,014.24, 1,527.30 and 727.68 is: 1,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.24 : 1,527.30 = 727.68 : x
  2. Step 2: Convert to fraction form
    1,014.24/1,527.30 = 727.68/x
  3. Step 3: Cross multiply
    1,014.24x = 1,527.30 × 727.68
  4. Step 4: Simplify right side
    1,014.24x = 1,111,385.66
  5. Step 5: Solve for x
    x = 1,111,385.66/1,014.24
  6. Step 6: Final answer
    x = 1,095.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.