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Finding the Fourth Proportional to 1,128.85, 1,556.94 and 755.71

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Solution

The fourth proportional to 1,128.85, 1,556.94 and 755.71 is: 1,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.85 : 1,556.94 = 755.71 : x
  2. Step 2: Convert to fraction form
    1,128.85/1,556.94 = 755.71/x
  3. Step 3: Cross multiply
    1,128.85x = 1,556.94 × 755.71
  4. Step 4: Simplify right side
    1,128.85x = 1,176,595.13
  5. Step 5: Solve for x
    x = 1,176,595.13/1,128.85
  6. Step 6: Final answer
    x = 1,042.30

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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.