Home / 746.24-1,120.17-512.15

Finding the Fourth Proportional to 746.24, 1,120.17 and 512.15

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Solution

The fourth proportional to 746.24, 1,120.17 and 512.15 is: 768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.24 : 1,120.17 = 512.15 : x
  2. Step 2: Convert to fraction form
    746.24/1,120.17 = 512.15/x
  3. Step 3: Cross multiply
    746.24x = 1,120.17 × 512.15
  4. Step 4: Simplify right side
    746.24x = 573,695.07
  5. Step 5: Solve for x
    x = 573,695.07/746.24
  6. Step 6: Final answer
    x = 768.78

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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.