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Finding the Fourth Proportional to 986, 1,477.56 and 712.16

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Solution

The fourth proportional to 986, 1,477.56 and 712.16 is: 1,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    986 : 1,477.56 = 712.16 : x
  2. Step 2: Convert to fraction form
    986/1,477.56 = 712.16/x
  3. Step 3: Cross multiply
    986x = 1,477.56 × 712.16
  4. Step 4: Simplify right side
    986x = 1,052,259.13
  5. Step 5: Solve for x
    x = 1,052,259.13/986
  6. Step 6: Final answer
    x = 1,067.20

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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.