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Finding the Fourth Proportional to 1,177.35, 1,764.73 and 628.17

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Solution

The fourth proportional to 1,177.35, 1,764.73 and 628.17 is: 941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.35 : 1,764.73 = 628.17 : x
  2. Step 2: Convert to fraction form
    1,177.35/1,764.73 = 628.17/x
  3. Step 3: Cross multiply
    1,177.35x = 1,764.73 × 628.17
  4. Step 4: Simplify right side
    1,177.35x = 1,108,550.44
  5. Step 5: Solve for x
    x = 1,108,550.44/1,177.35
  6. Step 6: Final answer
    x = 941.56

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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.