Home / 1,163.56-1,746.78-514.60

Finding the Fourth Proportional to 1,163.56, 1,746.78 and 514.60

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Solution

The fourth proportional to 1,163.56, 1,746.78 and 514.60 is: 772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.56 : 1,746.78 = 514.60 : x
  2. Step 2: Convert to fraction form
    1,163.56/1,746.78 = 514.60/x
  3. Step 3: Cross multiply
    1,163.56x = 1,746.78 × 514.60
  4. Step 4: Simplify right side
    1,163.56x = 898,892.99
  5. Step 5: Solve for x
    x = 898,892.99/1,163.56
  6. Step 6: Final answer
    x = 772.54

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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.