Home / 1,164.43-1,746.19-514.71

Finding the Fourth Proportional to 1,164.43, 1,746.19 and 514.71

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Solution

The fourth proportional to 1,164.43, 1,746.19 and 514.71 is: 771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.43 : 1,746.19 = 514.71 : x
  2. Step 2: Convert to fraction form
    1,164.43/1,746.19 = 514.71/x
  3. Step 3: Cross multiply
    1,164.43x = 1,746.19 × 514.71
  4. Step 4: Simplify right side
    1,164.43x = 898,778.88
  5. Step 5: Solve for x
    x = 898,778.88/1,164.43
  6. Step 6: Final answer
    x = 771.86

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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.