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Finding the Fourth Proportional to 1,140.54, 1,708.28 and 728.64

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Solution

The fourth proportional to 1,140.54, 1,708.28 and 728.64 is: 1,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.54 : 1,708.28 = 728.64 : x
  2. Step 2: Convert to fraction form
    1,140.54/1,708.28 = 728.64/x
  3. Step 3: Cross multiply
    1,140.54x = 1,708.28 × 728.64
  4. Step 4: Simplify right side
    1,140.54x = 1,244,721.14
  5. Step 5: Solve for x
    x = 1,244,721.14/1,140.54
  6. Step 6: Final answer
    x = 1,091.34

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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.