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Finding the Fourth Proportional to 1,385.24, 1,911.62 and 755.78

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Solution

The fourth proportional to 1,385.24, 1,911.62 and 755.78 is: 1,042.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.24 : 1,911.62 = 755.78 : x
  2. Step 2: Convert to fraction form
    1,385.24/1,911.62 = 755.78/x
  3. Step 3: Cross multiply
    1,385.24x = 1,911.62 × 755.78
  4. Step 4: Simplify right side
    1,385.24x = 1,444,756.49
  5. Step 5: Solve for x
    x = 1,444,756.49/1,385.24
  6. Step 6: Final answer
    x = 1,042.97

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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.