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Finding the Fourth Proportional to 1,126.76, 1,553.91 and 728.24

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Solution

The fourth proportional to 1,126.76, 1,553.91 and 728.24 is: 1,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.76 : 1,553.91 = 728.24 : x
  2. Step 2: Convert to fraction form
    1,126.76/1,553.91 = 728.24/x
  3. Step 3: Cross multiply
    1,126.76x = 1,553.91 × 728.24
  4. Step 4: Simplify right side
    1,126.76x = 1,131,619.42
  5. Step 5: Solve for x
    x = 1,131,619.42/1,126.76
  6. Step 6: Final answer
    x = 1,004.31

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Half 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.