Home / 1,163.90-1,746.17-514.79

Finding the Fourth Proportional to 1,163.90, 1,746.17 and 514.79

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Solution

The fourth proportional to 1,163.90, 1,746.17 and 514.79 is: 772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.90 : 1,746.17 = 514.79 : x
  2. Step 2: Convert to fraction form
    1,163.90/1,746.17 = 514.79/x
  3. Step 3: Cross multiply
    1,163.90x = 1,746.17 × 514.79
  4. Step 4: Simplify right side
    1,163.90x = 898,899.55
  5. Step 5: Solve for x
    x = 898,899.55/1,163.90
  6. Step 6: Final answer
    x = 772.32

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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.