Home / 1,164.58-1,747.17-434.36

Finding the Fourth Proportional to 1,164.58, 1,747.17 and 434.36

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Solution

The fourth proportional to 1,164.58, 1,747.17 and 434.36 is: 651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.58 : 1,747.17 = 434.36 : x
  2. Step 2: Convert to fraction form
    1,164.58/1,747.17 = 434.36/x
  3. Step 3: Cross multiply
    1,164.58x = 1,747.17 × 434.36
  4. Step 4: Simplify right side
    1,164.58x = 758,905.13
  5. Step 5: Solve for x
    x = 758,905.13/1,164.58
  6. Step 6: Final answer
    x = 651.66

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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.