Home / 1,164.78-1,747.26-434.27

Finding the Fourth Proportional to 1,164.78, 1,747.26 and 434.27

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Solution

The fourth proportional to 1,164.78, 1,747.26 and 434.27 is: 651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.78 : 1,747.26 = 434.27 : x
  2. Step 2: Convert to fraction form
    1,164.78/1,747.26 = 434.27/x
  3. Step 3: Cross multiply
    1,164.78x = 1,747.26 × 434.27
  4. Step 4: Simplify right side
    1,164.78x = 758,773.86
  5. Step 5: Solve for x
    x = 758,773.86/1,164.78
  6. Step 6: Final answer
    x = 651.43

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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.