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Finding the Fourth Proportional to 1,126.80, 1,556.28 and 896.76

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Solution

The fourth proportional to 1,126.80, 1,556.28 and 896.76 is: 1,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.80 : 1,556.28 = 896.76 : x
  2. Step 2: Convert to fraction form
    1,126.80/1,556.28 = 896.76/x
  3. Step 3: Cross multiply
    1,126.80x = 1,556.28 × 896.76
  4. Step 4: Simplify right side
    1,126.80x = 1,395,609.65
  5. Step 5: Solve for x
    x = 1,395,609.65/1,126.80
  6. Step 6: Final answer
    x = 1,238.56

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Double scale
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1.5x scale

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.