Home / 1,164.49-1,747.41-434.11

Finding the Fourth Proportional to 1,164.49, 1,747.41 and 434.11

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Solution

The fourth proportional to 1,164.49, 1,747.41 and 434.11 is: 651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.49 : 1,747.41 = 434.11 : x
  2. Step 2: Convert to fraction form
    1,164.49/1,747.41 = 434.11/x
  3. Step 3: Cross multiply
    1,164.49x = 1,747.41 × 434.11
  4. Step 4: Simplify right side
    1,164.49x = 758,568.16
  5. Step 5: Solve for x
    x = 758,568.16/1,164.49
  6. Step 6: Final answer
    x = 651.42

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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.