Home / 1,176.82-1,623.90-704.86

Finding the Fourth Proportional to 1,176.82, 1,623.90 and 704.86

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Solution

The fourth proportional to 1,176.82, 1,623.90 and 704.86 is: 972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.82 : 1,623.90 = 704.86 : x
  2. Step 2: Convert to fraction form
    1,176.82/1,623.90 = 704.86/x
  3. Step 3: Cross multiply
    1,176.82x = 1,623.90 × 704.86
  4. Step 4: Simplify right side
    1,176.82x = 1,144,622.15
  5. Step 5: Solve for x
    x = 1,144,622.15/1,176.82
  6. Step 6: Final answer
    x = 972.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.